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Finding the Fourth Proportional to 19,752.72, 29,615.10 and 9,884.92

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Solution

The fourth proportional to 19,752.72, 29,615.10 and 9,884.92 is: 14,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.72 : 29,615.10 = 9,884.92 : x
  2. Step 2: Convert to fraction form
    19,752.72/29,615.10 = 9,884.92/x
  3. Step 3: Cross multiply
    19,752.72x = 29,615.10 × 9,884.92
  4. Step 4: Simplify right side
    19,752.72x = 292,742,894.29
  5. Step 5: Solve for x
    x = 292,742,894.29/19,752.72
  6. Step 6: Final answer
    x = 14,820.38

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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.