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Finding the Fourth Proportional to 17,905.48, 24,709.56 and 9,948.46

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Solution

The fourth proportional to 17,905.48, 24,709.56 and 9,948.46 is: 13,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.48 : 24,709.56 = 9,948.46 : x
  2. Step 2: Convert to fraction form
    17,905.48/24,709.56 = 9,948.46/x
  3. Step 3: Cross multiply
    17,905.48x = 24,709.56 × 9,948.46
  4. Step 4: Simplify right side
    17,905.48x = 245,822,069.28
  5. Step 5: Solve for x
    x = 245,822,069.28/17,905.48
  6. Step 6: Final answer
    x = 13,728.87

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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.