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Finding the Fourth Proportional to 12,384.64, 18,575.04 and 3,617.76

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Solution

The fourth proportional to 12,384.64, 18,575.04 and 3,617.76 is: 5,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.64 : 18,575.04 = 3,617.76 : x
  2. Step 2: Convert to fraction form
    12,384.64/18,575.04 = 3,617.76/x
  3. Step 3: Cross multiply
    12,384.64x = 18,575.04 × 3,617.76
  4. Step 4: Simplify right side
    12,384.64x = 67,200,036.71
  5. Step 5: Solve for x
    x = 67,200,036.71/12,384.64
  6. Step 6: Final answer
    x = 5,426.08

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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.