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Finding the Fourth Proportional to 27,432, 37,856.43 and 14,857.02

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Solution

The fourth proportional to 27,432, 37,856.43 and 14,857.02 is: 20,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 37,856.43 = 14,857.02 : x
  2. Step 2: Convert to fraction form
    27,432/37,856.43 = 14,857.02/x
  3. Step 3: Cross multiply
    27,432x = 37,856.43 × 14,857.02
  4. Step 4: Simplify right side
    27,432x = 562,433,737.64
  5. Step 5: Solve for x
    x = 562,433,737.64/27,432
  6. Step 6: Final answer
    x = 20,502.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.