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Finding the Fourth Proportional to 27,607.66, 38,107.17 and 15,678.94

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Solution

The fourth proportional to 27,607.66, 38,107.17 and 15,678.94 is: 21,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.66 : 38,107.17 = 15,678.94 : x
  2. Step 2: Convert to fraction form
    27,607.66/38,107.17 = 15,678.94/x
  3. Step 3: Cross multiply
    27,607.66x = 38,107.17 × 15,678.94
  4. Step 4: Simplify right side
    27,607.66x = 597,480,032.00
  5. Step 5: Solve for x
    x = 597,480,032.00/27,607.66
  6. Step 6: Final answer
    x = 21,641.82

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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.