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Finding the Fourth Proportional to 14,726.50, 22,096.84 and 7,331.61

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Solution

The fourth proportional to 14,726.50, 22,096.84 and 7,331.61 is: 11,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726.50 : 22,096.84 = 7,331.61 : x
  2. Step 2: Convert to fraction form
    14,726.50/22,096.84 = 7,331.61/x
  3. Step 3: Cross multiply
    14,726.50x = 22,096.84 × 7,331.61
  4. Step 4: Simplify right side
    14,726.50x = 162,005,413.11
  5. Step 5: Solve for x
    x = 162,005,413.11/14,726.50
  6. Step 6: Final answer
    x = 11,000.94

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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.