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Finding the Fourth Proportional to 30,826.69, 42,540.10 and 17,397.59

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Solution

The fourth proportional to 30,826.69, 42,540.10 and 17,397.59 is: 24,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.69 : 42,540.10 = 17,397.59 : x
  2. Step 2: Convert to fraction form
    30,826.69/42,540.10 = 17,397.59/x
  3. Step 3: Cross multiply
    30,826.69x = 42,540.10 × 17,397.59
  4. Step 4: Simplify right side
    30,826.69x = 740,094,962.16
  5. Step 5: Solve for x
    x = 740,094,962.16/30,826.69
  6. Step 6: Final answer
    x = 24,008.25

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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.