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Finding the Fourth Proportional to 15,663.64, 23,494.26 and 9,085.72

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Solution

The fourth proportional to 15,663.64, 23,494.26 and 9,085.72 is: 13,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.64 : 23,494.26 = 9,085.72 : x
  2. Step 2: Convert to fraction form
    15,663.64/23,494.26 = 9,085.72/x
  3. Step 3: Cross multiply
    15,663.64x = 23,494.26 × 9,085.72
  4. Step 4: Simplify right side
    15,663.64x = 213,462,267.97
  5. Step 5: Solve for x
    x = 213,462,267.97/15,663.64
  6. Step 6: Final answer
    x = 13,627.88

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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.