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Finding the Fourth Proportional to 17,905.68, 24,708.94 and 9,948.36

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Solution

The fourth proportional to 17,905.68, 24,708.94 and 9,948.36 is: 13,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.68 : 24,708.94 = 9,948.36 : x
  2. Step 2: Convert to fraction form
    17,905.68/24,708.94 = 9,948.36/x
  3. Step 3: Cross multiply
    17,905.68x = 24,708.94 × 9,948.36
  4. Step 4: Simplify right side
    17,905.68x = 245,813,430.34
  5. Step 5: Solve for x
    x = 245,813,430.34/17,905.68
  6. Step 6: Final answer
    x = 13,728.24

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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.