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Finding the Fourth Proportional to 17,962.46, 24,788.18 and 10,413.16

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Solution

The fourth proportional to 17,962.46, 24,788.18 and 10,413.16 is: 14,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962.46 : 24,788.18 = 10,413.16 : x
  2. Step 2: Convert to fraction form
    17,962.46/24,788.18 = 10,413.16/x
  3. Step 3: Cross multiply
    17,962.46x = 24,788.18 × 10,413.16
  4. Step 4: Simplify right side
    17,962.46x = 258,123,263.37
  5. Step 5: Solve for x
    x = 258,123,263.37/17,962.46
  6. Step 6: Final answer
    x = 14,370.15

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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.