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Finding the Fourth Proportional to 24,177.63, 36,264.73 and 6,407.90

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Solution

The fourth proportional to 24,177.63, 36,264.73 and 6,407.90 is: 9,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.63 : 36,264.73 = 6,407.90 : x
  2. Step 2: Convert to fraction form
    24,177.63/36,264.73 = 6,407.90/x
  3. Step 3: Cross multiply
    24,177.63x = 36,264.73 × 6,407.90
  4. Step 4: Simplify right side
    24,177.63x = 232,380,663.03
  5. Step 5: Solve for x
    x = 232,380,663.03/24,177.63
  6. Step 6: Final answer
    x = 9,611.39

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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.