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Finding the Fourth Proportional to 15,184.49, 22,779.16 and 6,864.17

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Solution

The fourth proportional to 15,184.49, 22,779.16 and 6,864.17 is: 10,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,184.49 : 22,779.16 = 6,864.17 : x
  2. Step 2: Convert to fraction form
    15,184.49/22,779.16 = 6,864.17/x
  3. Step 3: Cross multiply
    15,184.49x = 22,779.16 × 6,864.17
  4. Step 4: Simplify right side
    15,184.49x = 156,359,895.64
  5. Step 5: Solve for x
    x = 156,359,895.64/15,184.49
  6. Step 6: Final answer
    x = 10,297.35

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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.