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Finding the Fourth Proportional to 23,724.69, 35,587.03 and 9,691.34

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Solution

The fourth proportional to 23,724.69, 35,587.03 and 9,691.34 is: 14,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.69 : 35,587.03 = 9,691.34 : x
  2. Step 2: Convert to fraction form
    23,724.69/35,587.03 = 9,691.34/x
  3. Step 3: Cross multiply
    23,724.69x = 35,587.03 × 9,691.34
  4. Step 4: Simplify right side
    23,724.69x = 344,885,829.39
  5. Step 5: Solve for x
    x = 344,885,829.39/23,724.69
  6. Step 6: Final answer
    x = 14,537.00

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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.