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Finding the Fourth Proportional to 12,497.42, 17,246.45 and 6,832.08

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Solution

The fourth proportional to 12,497.42, 17,246.45 and 6,832.08 is: 9,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.42 : 17,246.45 = 6,832.08 : x
  2. Step 2: Convert to fraction form
    12,497.42/17,246.45 = 6,832.08/x
  3. Step 3: Cross multiply
    12,497.42x = 17,246.45 × 6,832.08
  4. Step 4: Simplify right side
    12,497.42x = 117,829,143.20
  5. Step 5: Solve for x
    x = 117,829,143.20/12,497.42
  6. Step 6: Final answer
    x = 9,428.28

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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.