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Finding the Fourth Proportional to 15,241.13, 22,841.64 and 6,465.18

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Solution

The fourth proportional to 15,241.13, 22,841.64 and 6,465.18 is: 9,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.13 : 22,841.64 = 6,465.18 : x
  2. Step 2: Convert to fraction form
    15,241.13/22,841.64 = 6,465.18/x
  3. Step 3: Cross multiply
    15,241.13x = 22,841.64 × 6,465.18
  4. Step 4: Simplify right side
    15,241.13x = 147,675,314.10
  5. Step 5: Solve for x
    x = 147,675,314.10/15,241.13
  6. Step 6: Final answer
    x = 9,689.27

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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.