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Finding the Fourth Proportional to 16,413.57, 24,599.30 and 7,042.68

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Solution

The fourth proportional to 16,413.57, 24,599.30 and 7,042.68 is: 10,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.57 : 24,599.30 = 7,042.68 : x
  2. Step 2: Convert to fraction form
    16,413.57/24,599.30 = 7,042.68/x
  3. Step 3: Cross multiply
    16,413.57x = 24,599.30 × 7,042.68
  4. Step 4: Simplify right side
    16,413.57x = 173,244,962.91
  5. Step 5: Solve for x
    x = 173,244,962.91/16,413.57
  6. Step 6: Final answer
    x = 10,554.98

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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.