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Finding the Fourth Proportional to 27,001.44, 40,502.16 and 8,532

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Solution

The fourth proportional to 27,001.44, 40,502.16 and 8,532 is: 12,798

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001.44 : 40,502.16 = 8,532 : x
  2. Step 2: Convert to fraction form
    27,001.44/40,502.16 = 8,532/x
  3. Step 3: Cross multiply
    27,001.44x = 40,502.16 × 8,532
  4. Step 4: Simplify right side
    27,001.44x = 345,564,429.12
  5. Step 5: Solve for x
    x = 345,564,429.12/27,001.44
  6. Step 6: Final answer
    x = 12,798

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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.