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Finding the Fourth Proportional to 24,577.50, 36,878.26 and 11,439.02

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Solution

The fourth proportional to 24,577.50, 36,878.26 and 11,439.02 is: 17,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.50 : 36,878.26 = 11,439.02 : x
  2. Step 2: Convert to fraction form
    24,577.50/36,878.26 = 11,439.02/x
  3. Step 3: Cross multiply
    24,577.50x = 36,878.26 × 11,439.02
  4. Step 4: Simplify right side
    24,577.50x = 421,851,153.71
  5. Step 5: Solve for x
    x = 421,851,153.71/24,577.50
  6. Step 6: Final answer
    x = 17,164.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.