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Finding the Fourth Proportional to 25,292.16, 37,872 and 16,502.40

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Solution

The fourth proportional to 25,292.16, 37,872 and 16,502.40 is: 24,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.16 : 37,872 = 16,502.40 : x
  2. Step 2: Convert to fraction form
    25,292.16/37,872 = 16,502.40/x
  3. Step 3: Cross multiply
    25,292.16x = 37,872 × 16,502.40
  4. Step 4: Simplify right side
    25,292.16x = 624,978,892.80
  5. Step 5: Solve for x
    x = 624,978,892.80/25,292.16
  6. Step 6: Final answer
    x = 24,710.38

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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.