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Finding the Fourth Proportional to 16,152.50, 22,290.35 and 9,078.93

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Solution

The fourth proportional to 16,152.50, 22,290.35 and 9,078.93 is: 12,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.50 : 22,290.35 = 9,078.93 : x
  2. Step 2: Convert to fraction form
    16,152.50/22,290.35 = 9,078.93/x
  3. Step 3: Cross multiply
    16,152.50x = 22,290.35 × 9,078.93
  4. Step 4: Simplify right side
    16,152.50x = 202,372,481.93
  5. Step 5: Solve for x
    x = 202,372,481.93/16,152.50
  6. Step 6: Final answer
    x = 12,528.87

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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.