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Finding the Fourth Proportional to 24,577.49, 36,878.25 and 11,439.02

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Solution

The fourth proportional to 24,577.49, 36,878.25 and 11,439.02 is: 17,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.49 : 36,878.25 = 11,439.02 : x
  2. Step 2: Convert to fraction form
    24,577.49/36,878.25 = 11,439.02/x
  3. Step 3: Cross multiply
    24,577.49x = 36,878.25 × 11,439.02
  4. Step 4: Simplify right side
    24,577.49x = 421,851,039.32
  5. Step 5: Solve for x
    x = 421,851,039.32/24,577.49
  6. Step 6: Final answer
    x = 17,164.12

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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.