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Finding the Fourth Proportional to 27,569.66, 38,046.39 and 16,389.50

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Solution

The fourth proportional to 27,569.66, 38,046.39 and 16,389.50 is: 22,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.66 : 38,046.39 = 16,389.50 : x
  2. Step 2: Convert to fraction form
    27,569.66/38,046.39 = 16,389.50/x
  3. Step 3: Cross multiply
    27,569.66x = 38,046.39 × 16,389.50
  4. Step 4: Simplify right side
    27,569.66x = 623,561,308.91
  5. Step 5: Solve for x
    x = 623,561,308.91/27,569.66
  6. Step 6: Final answer
    x = 22,617.66

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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.