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Finding the Fourth Proportional to 27,569, 38,045.36 and 14,993.76

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Solution

The fourth proportional to 27,569, 38,045.36 and 14,993.76 is: 20,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 38,045.36 = 14,993.76 : x
  2. Step 2: Convert to fraction form
    27,569/38,045.36 = 14,993.76/x
  3. Step 3: Cross multiply
    27,569x = 38,045.36 × 14,993.76
  4. Step 4: Simplify right side
    27,569x = 570,442,996.95
  5. Step 5: Solve for x
    x = 570,442,996.95/27,569
  6. Step 6: Final answer
    x = 20,691.46

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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.