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Finding the Fourth Proportional to 23,287.42, 34,932.45 and 6,646.17

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Solution

The fourth proportional to 23,287.42, 34,932.45 and 6,646.17 is: 9,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.42 : 34,932.45 = 6,646.17 : x
  2. Step 2: Convert to fraction form
    23,287.42/34,932.45 = 6,646.17/x
  3. Step 3: Cross multiply
    23,287.42x = 34,932.45 × 6,646.17
  4. Step 4: Simplify right side
    23,287.42x = 232,167,001.22
  5. Step 5: Solve for x
    x = 232,167,001.22/23,287.42
  6. Step 6: Final answer
    x = 9,969.63

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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.