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Finding the Fourth Proportional to 27,432, 37,856.16 and 14,856.84

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Solution

The fourth proportional to 27,432, 37,856.16 and 14,856.84 is: 20,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 37,856.16 = 14,856.84 : x
  2. Step 2: Convert to fraction form
    27,432/37,856.16 = 14,856.84/x
  3. Step 3: Cross multiply
    27,432x = 37,856.16 × 14,856.84
  4. Step 4: Simplify right side
    27,432x = 562,422,912.13
  5. Step 5: Solve for x
    x = 562,422,912.13/27,432
  6. Step 6: Final answer
    x = 20,502.44

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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.