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Finding the Fourth Proportional to 17,677.91, 24,394.89 and 9,720.07

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Solution

The fourth proportional to 17,677.91, 24,394.89 and 9,720.07 is: 13,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.91 : 24,394.89 = 9,720.07 : x
  2. Step 2: Convert to fraction form
    17,677.91/24,394.89 = 9,720.07/x
  3. Step 3: Cross multiply
    17,677.91x = 24,394.89 × 9,720.07
  4. Step 4: Simplify right side
    17,677.91x = 237,119,959.23
  5. Step 5: Solve for x
    x = 237,119,959.23/17,677.91
  6. Step 6: Final answer
    x = 13,413.35

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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.