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Finding the Fourth Proportional to 16,238.12, 22,413.71 and 9,526.46

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Solution

The fourth proportional to 16,238.12, 22,413.71 and 9,526.46 is: 13,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.12 : 22,413.71 = 9,526.46 : x
  2. Step 2: Convert to fraction form
    16,238.12/22,413.71 = 9,526.46/x
  3. Step 3: Cross multiply
    16,238.12x = 22,413.71 × 9,526.46
  4. Step 4: Simplify right side
    16,238.12x = 213,523,320.17
  5. Step 5: Solve for x
    x = 213,523,320.17/16,238.12
  6. Step 6: Final answer
    x = 13,149.51

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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.