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Finding the Fourth Proportional to 12,384.32, 18,575.68 and 5,801.28

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Solution

The fourth proportional to 12,384.32, 18,575.68 and 5,801.28 is: 8,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.32 : 18,575.68 = 5,801.28 : x
  2. Step 2: Convert to fraction form
    12,384.32/18,575.68 = 5,801.28/x
  3. Step 3: Cross multiply
    12,384.32x = 18,575.68 × 5,801.28
  4. Step 4: Simplify right side
    12,384.32x = 107,762,720.87
  5. Step 5: Solve for x
    x = 107,762,720.87/12,384.32
  6. Step 6: Final answer
    x = 8,701.55

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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.