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Finding the Fourth Proportional to 13,615.24, 18,789.12 and 7,646.98

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Solution

The fourth proportional to 13,615.24, 18,789.12 and 7,646.98 is: 10,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.24 : 18,789.12 = 7,646.98 : x
  2. Step 2: Convert to fraction form
    13,615.24/18,789.12 = 7,646.98/x
  3. Step 3: Cross multiply
    13,615.24x = 18,789.12 × 7,646.98
  4. Step 4: Simplify right side
    13,615.24x = 143,680,024.86
  5. Step 5: Solve for x
    x = 143,680,024.86/13,615.24
  6. Step 6: Final answer
    x = 10,552.88

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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.