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Finding the Fourth Proportional to 10,153.15, 13,987.23 and 9,652.87

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Solution

The fourth proportional to 10,153.15, 13,987.23 and 9,652.87 is: 13,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.15 : 13,987.23 = 9,652.87 : x
  2. Step 2: Convert to fraction form
    10,153.15/13,987.23 = 9,652.87/x
  3. Step 3: Cross multiply
    10,153.15x = 13,987.23 × 9,652.87
  4. Step 4: Simplify right side
    10,153.15x = 135,016,948.43
  5. Step 5: Solve for x
    x = 135,016,948.43/10,153.15
  6. Step 6: Final answer
    x = 13,298.04

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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.