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Finding the Fourth Proportional to 14,642.40, 21,913.20 and 8,803.20

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Solution

The fourth proportional to 14,642.40, 21,913.20 and 8,803.20 is: 13,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.40 : 21,913.20 = 8,803.20 : x
  2. Step 2: Convert to fraction form
    14,642.40/21,913.20 = 8,803.20/x
  3. Step 3: Cross multiply
    14,642.40x = 21,913.20 × 8,803.20
  4. Step 4: Simplify right side
    14,642.40x = 192,906,282.24
  5. Step 5: Solve for x
    x = 192,906,282.24/14,642.40
  6. Step 6: Final answer
    x = 13,174.50

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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.