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Finding the Fourth Proportional to 16,175.70, 24,256.35 and 7,413.30

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Solution

The fourth proportional to 16,175.70, 24,256.35 and 7,413.30 is: 11,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.70 : 24,256.35 = 7,413.30 : x
  2. Step 2: Convert to fraction form
    16,175.70/24,256.35 = 7,413.30/x
  3. Step 3: Cross multiply
    16,175.70x = 24,256.35 × 7,413.30
  4. Step 4: Simplify right side
    16,175.70x = 179,819,599.46
  5. Step 5: Solve for x
    x = 179,819,599.46/16,175.70
  6. Step 6: Final answer
    x = 11,116.65

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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.