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Finding the Fourth Proportional to 22,900.46, 34,344.21 and 10,413.50

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Solution

The fourth proportional to 22,900.46, 34,344.21 and 10,413.50 is: 15,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.46 : 34,344.21 = 10,413.50 : x
  2. Step 2: Convert to fraction form
    22,900.46/34,344.21 = 10,413.50/x
  3. Step 3: Cross multiply
    22,900.46x = 34,344.21 × 10,413.50
  4. Step 4: Simplify right side
    22,900.46x = 357,643,430.84
  5. Step 5: Solve for x
    x = 357,643,430.84/22,900.46
  6. Step 6: Final answer
    x = 15,617.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.