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Finding the Fourth Proportional to 15,129.32, 22,655.10 and 9,268.16

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Solution

The fourth proportional to 15,129.32, 22,655.10 and 9,268.16 is: 13,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.32 : 22,655.10 = 9,268.16 : x
  2. Step 2: Convert to fraction form
    15,129.32/22,655.10 = 9,268.16/x
  3. Step 3: Cross multiply
    15,129.32x = 22,655.10 × 9,268.16
  4. Step 4: Simplify right side
    15,129.32x = 209,971,091.62
  5. Step 5: Solve for x
    x = 209,971,091.62/15,129.32
  6. Step 6: Final answer
    x = 13,878.42

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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.