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Finding the Fourth Proportional to 15,693.14, 23,539.71 and 9,853.85

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Solution

The fourth proportional to 15,693.14, 23,539.71 and 9,853.85 is: 14,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.14 : 23,539.71 = 9,853.85 : x
  2. Step 2: Convert to fraction form
    15,693.14/23,539.71 = 9,853.85/x
  3. Step 3: Cross multiply
    15,693.14x = 23,539.71 × 9,853.85
  4. Step 4: Simplify right side
    15,693.14x = 231,956,867.18
  5. Step 5: Solve for x
    x = 231,956,867.18/15,693.14
  6. Step 6: Final answer
    x = 14,780.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.