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Finding the Fourth Proportional to 24,203.62, 36,307.67 and 9,413.66

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Solution

The fourth proportional to 24,203.62, 36,307.67 and 9,413.66 is: 14,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.62 : 36,307.67 = 9,413.66 : x
  2. Step 2: Convert to fraction form
    24,203.62/36,307.67 = 9,413.66/x
  3. Step 3: Cross multiply
    24,203.62x = 36,307.67 × 9,413.66
  4. Step 4: Simplify right side
    24,203.62x = 341,788,060.77
  5. Step 5: Solve for x
    x = 341,788,060.77/24,203.62
  6. Step 6: Final answer
    x = 14,121.36

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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.