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Finding the Fourth Proportional to 24,283.13, 36,426.15 and 7,643.70

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Solution

The fourth proportional to 24,283.13, 36,426.15 and 7,643.70 is: 11,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,283.13 : 36,426.15 = 7,643.70 : x
  2. Step 2: Convert to fraction form
    24,283.13/36,426.15 = 7,643.70/x
  3. Step 3: Cross multiply
    24,283.13x = 36,426.15 × 7,643.70
  4. Step 4: Simplify right side
    24,283.13x = 278,430,562.76
  5. Step 5: Solve for x
    x = 278,430,562.76/24,283.13
  6. Step 6: Final answer
    x = 11,466.01

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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.