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Finding the Fourth Proportional to 17,904.24, 24,707.88 and 9,946.53

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Solution

The fourth proportional to 17,904.24, 24,707.88 and 9,946.53 is: 13,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.24 : 24,707.88 = 9,946.53 : x
  2. Step 2: Convert to fraction form
    17,904.24/24,707.88 = 9,946.53/x
  3. Step 3: Cross multiply
    17,904.24x = 24,707.88 × 9,946.53
  4. Step 4: Simplify right side
    17,904.24x = 245,757,669.66
  5. Step 5: Solve for x
    x = 245,757,669.66/17,904.24
  6. Step 6: Final answer
    x = 13,726.23

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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.