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Finding the Fourth Proportional to 12,032.64, 18,052.04 and 4,635.12

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Solution

The fourth proportional to 12,032.64, 18,052.04 and 4,635.12 is: 6,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.64 : 18,052.04 = 4,635.12 : x
  2. Step 2: Convert to fraction form
    12,032.64/18,052.04 = 4,635.12/x
  3. Step 3: Cross multiply
    12,032.64x = 18,052.04 × 4,635.12
  4. Step 4: Simplify right side
    12,032.64x = 83,673,281.38
  5. Step 5: Solve for x
    x = 83,673,281.38/12,032.64
  6. Step 6: Final answer
    x = 6,953.86

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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.