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Finding the Fourth Proportional to 22,056.64, 30,413.28 and 16,077.76

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Solution

The fourth proportional to 22,056.64, 30,413.28 and 16,077.76 is: 22,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.64 : 30,413.28 = 16,077.76 : x
  2. Step 2: Convert to fraction form
    22,056.64/30,413.28 = 16,077.76/x
  3. Step 3: Cross multiply
    22,056.64x = 30,413.28 × 16,077.76
  4. Step 4: Simplify right side
    22,056.64x = 488,977,416.65
  5. Step 5: Solve for x
    x = 488,977,416.65/22,056.64
  6. Step 6: Final answer
    x = 22,169.17

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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.