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Finding the Fourth Proportional to 17,677.04, 24,394.56 and 9,719.60

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Solution

The fourth proportional to 17,677.04, 24,394.56 and 9,719.60 is: 13,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.04 : 24,394.56 = 9,719.60 : x
  2. Step 2: Convert to fraction form
    17,677.04/24,394.56 = 9,719.60/x
  3. Step 3: Cross multiply
    17,677.04x = 24,394.56 × 9,719.60
  4. Step 4: Simplify right side
    17,677.04x = 237,105,365.38
  5. Step 5: Solve for x
    x = 237,105,365.38/17,677.04
  6. Step 6: Final answer
    x = 13,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.