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Finding the Fourth Proportional to 12,336.68, 18,505.20 and 5,762

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Solution

The fourth proportional to 12,336.68, 18,505.20 and 5,762 is: 8,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.68 : 18,505.20 = 5,762 : x
  2. Step 2: Convert to fraction form
    12,336.68/18,505.20 = 5,762/x
  3. Step 3: Cross multiply
    12,336.68x = 18,505.20 × 5,762
  4. Step 4: Simplify right side
    12,336.68x = 106,626,962.40
  5. Step 5: Solve for x
    x = 106,626,962.40/12,336.68
  6. Step 6: Final answer
    x = 8,643.08

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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.