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Finding the Fourth Proportional to 27,432.25, 37,856.51 and 14,857

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Solution

The fourth proportional to 27,432.25, 37,856.51 and 14,857 is: 20,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432.25 : 37,856.51 = 14,857 : x
  2. Step 2: Convert to fraction form
    27,432.25/37,856.51 = 14,857/x
  3. Step 3: Cross multiply
    27,432.25x = 37,856.51 × 14,857
  4. Step 4: Simplify right side
    27,432.25x = 562,434,169.07
  5. Step 5: Solve for x
    x = 562,434,169.07/27,432.25
  6. Step 6: Final answer
    x = 20,502.66

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