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Finding the Fourth Proportional to 30,726.10, 42,397.04 and 17,294.51

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Solution

The fourth proportional to 30,726.10, 42,397.04 and 17,294.51 is: 23,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.10 : 42,397.04 = 17,294.51 : x
  2. Step 2: Convert to fraction form
    30,726.10/42,397.04 = 17,294.51/x
  3. Step 3: Cross multiply
    30,726.10x = 42,397.04 × 17,294.51
  4. Step 4: Simplify right side
    30,726.10x = 733,236,084.20
  5. Step 5: Solve for x
    x = 733,236,084.20/30,726.10
  6. Step 6: Final answer
    x = 23,863.62

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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.