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Finding the Fourth Proportional to 14,378.40, 21,524.40 and 12,823.20

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Solution

The fourth proportional to 14,378.40, 21,524.40 and 12,823.20 is: 19,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.40 : 21,524.40 = 12,823.20 : x
  2. Step 2: Convert to fraction form
    14,378.40/21,524.40 = 12,823.20/x
  3. Step 3: Cross multiply
    14,378.40x = 21,524.40 × 12,823.20
  4. Step 4: Simplify right side
    14,378.40x = 276,011,686.08
  5. Step 5: Solve for x
    x = 276,011,686.08/14,378.40
  6. Step 6: Final answer
    x = 19,196.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.