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Finding the Fourth Proportional to 19,498.82, 29,248.23 and 9,117.86

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Solution

The fourth proportional to 19,498.82, 29,248.23 and 9,117.86 is: 13,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.82 : 29,248.23 = 9,117.86 : x
  2. Step 2: Convert to fraction form
    19,498.82/29,248.23 = 9,117.86/x
  3. Step 3: Cross multiply
    19,498.82x = 29,248.23 × 9,117.86
  4. Step 4: Simplify right side
    19,498.82x = 266,681,266.39
  5. Step 5: Solve for x
    x = 266,681,266.39/19,498.82
  6. Step 6: Final answer
    x = 13,676.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.