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Finding the Fourth Proportional to 12,576.32, 17,354.72 and 6,987.20

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Solution

The fourth proportional to 12,576.32, 17,354.72 and 6,987.20 is: 9,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.32 : 17,354.72 = 6,987.20 : x
  2. Step 2: Convert to fraction form
    12,576.32/17,354.72 = 6,987.20/x
  3. Step 3: Cross multiply
    12,576.32x = 17,354.72 × 6,987.20
  4. Step 4: Simplify right side
    12,576.32x = 121,260,899.58
  5. Step 5: Solve for x
    x = 121,260,899.58/12,576.32
  6. Step 6: Final answer
    x = 9,642.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.