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Finding the Fourth Proportional to 24,179.63, 36,267.73 and 6,409.90

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Solution

The fourth proportional to 24,179.63, 36,267.73 and 6,409.90 is: 9,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.63 : 36,267.73 = 6,409.90 : x
  2. Step 2: Convert to fraction form
    24,179.63/36,267.73 = 6,409.90/x
  3. Step 3: Cross multiply
    24,179.63x = 36,267.73 × 6,409.90
  4. Step 4: Simplify right side
    24,179.63x = 232,472,522.53
  5. Step 5: Solve for x
    x = 232,472,522.53/24,179.63
  6. Step 6: Final answer
    x = 9,614.40

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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.