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Finding the Fourth Proportional to 24,411.96, 36,614.70 and 6,883.20

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Solution

The fourth proportional to 24,411.96, 36,614.70 and 6,883.20 is: 10,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.96 : 36,614.70 = 6,883.20 : x
  2. Step 2: Convert to fraction form
    24,411.96/36,614.70 = 6,883.20/x
  3. Step 3: Cross multiply
    24,411.96x = 36,614.70 × 6,883.20
  4. Step 4: Simplify right side
    24,411.96x = 252,026,303.04
  5. Step 5: Solve for x
    x = 252,026,303.04/24,411.96
  6. Step 6: Final answer
    x = 10,323.89

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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.