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Finding the Fourth Proportional to 17,906.27, 24,710.47 and 9,948.32

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Solution

The fourth proportional to 17,906.27, 24,710.47 and 9,948.32 is: 13,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.27 : 24,710.47 = 9,948.32 : x
  2. Step 2: Convert to fraction form
    17,906.27/24,710.47 = 9,948.32/x
  3. Step 3: Cross multiply
    17,906.27x = 24,710.47 × 9,948.32
  4. Step 4: Simplify right side
    17,906.27x = 245,827,607.15
  5. Step 5: Solve for x
    x = 245,827,607.15/17,906.27
  6. Step 6: Final answer
    x = 13,728.58

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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.