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Finding the Fourth Proportional to 30,726.52, 42,402.72 and 17,298

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Solution

The fourth proportional to 30,726.52, 42,402.72 and 17,298 is: 23,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726.52 : 42,402.72 = 17,298 : x
  2. Step 2: Convert to fraction form
    30,726.52/42,402.72 = 17,298/x
  3. Step 3: Cross multiply
    30,726.52x = 42,402.72 × 17,298
  4. Step 4: Simplify right side
    30,726.52x = 733,482,250.56
  5. Step 5: Solve for x
    x = 733,482,250.56/30,726.52
  6. Step 6: Final answer
    x = 23,871.31

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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.