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Finding the Fourth Proportional to 24,892.17, 37,344.24 and 7,123.11

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Solution

The fourth proportional to 24,892.17, 37,344.24 and 7,123.11 is: 10,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.17 : 37,344.24 = 7,123.11 : x
  2. Step 2: Convert to fraction form
    24,892.17/37,344.24 = 7,123.11/x
  3. Step 3: Cross multiply
    24,892.17x = 37,344.24 × 7,123.11
  4. Step 4: Simplify right side
    24,892.17x = 266,007,129.39
  5. Step 5: Solve for x
    x = 266,007,129.39/24,892.17
  6. Step 6: Final answer
    x = 10,686.38

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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.