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Finding the Fourth Proportional to 15,412.40, 23,113.20 and 8,014.40

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Solution

The fourth proportional to 15,412.40, 23,113.20 and 8,014.40 is: 12,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.40 : 23,113.20 = 8,014.40 : x
  2. Step 2: Convert to fraction form
    15,412.40/23,113.20 = 8,014.40/x
  3. Step 3: Cross multiply
    15,412.40x = 23,113.20 × 8,014.40
  4. Step 4: Simplify right side
    15,412.40x = 185,238,430.08
  5. Step 5: Solve for x
    x = 185,238,430.08/15,412.40
  6. Step 6: Final answer
    x = 12,018.79

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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.