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Finding the Fourth Proportional to 25,294.60, 37,970.70 and 14,912.20

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Solution

The fourth proportional to 25,294.60, 37,970.70 and 14,912.20 is: 22,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.60 : 37,970.70 = 14,912.20 : x
  2. Step 2: Convert to fraction form
    25,294.60/37,970.70 = 14,912.20/x
  3. Step 3: Cross multiply
    25,294.60x = 37,970.70 × 14,912.20
  4. Step 4: Simplify right side
    25,294.60x = 566,226,672.54
  5. Step 5: Solve for x
    x = 566,226,672.54/25,294.60
  6. Step 6: Final answer
    x = 22,385.28

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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.