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Finding the Fourth Proportional to 24,413.34, 36,613.89 and 9,417.45

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Solution

The fourth proportional to 24,413.34, 36,613.89 and 9,417.45 is: 14,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.34 : 36,613.89 = 9,417.45 : x
  2. Step 2: Convert to fraction form
    24,413.34/36,613.89 = 9,417.45/x
  3. Step 3: Cross multiply
    24,413.34x = 36,613.89 × 9,417.45
  4. Step 4: Simplify right side
    24,413.34x = 344,809,478.38
  5. Step 5: Solve for x
    x = 344,809,478.38/24,413.34
  6. Step 6: Final answer
    x = 14,123.81

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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.