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Finding the Fourth Proportional to 12,523.32, 17,281.64 and 6,857.97

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Solution

The fourth proportional to 12,523.32, 17,281.64 and 6,857.97 is: 9,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.32 : 17,281.64 = 6,857.97 : x
  2. Step 2: Convert to fraction form
    12,523.32/17,281.64 = 6,857.97/x
  3. Step 3: Cross multiply
    12,523.32x = 17,281.64 × 6,857.97
  4. Step 4: Simplify right side
    12,523.32x = 118,516,968.67
  5. Step 5: Solve for x
    x = 118,516,968.67/12,523.32
  6. Step 6: Final answer
    x = 9,463.70

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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.