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Finding the Fourth Proportional to 24,119.10, 36,175.41 and 8,547.66

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Solution

The fourth proportional to 24,119.10, 36,175.41 and 8,547.66 is: 12,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119.10 : 36,175.41 = 8,547.66 : x
  2. Step 2: Convert to fraction form
    24,119.10/36,175.41 = 8,547.66/x
  3. Step 3: Cross multiply
    24,119.10x = 36,175.41 × 8,547.66
  4. Step 4: Simplify right side
    24,119.10x = 309,215,105.04
  5. Step 5: Solve for x
    x = 309,215,105.04/24,119.10
  6. Step 6: Final answer
    x = 12,820.34

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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.