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Finding the Fourth Proportional to 10,160.64, 15,194.88 and 10,033.92

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Solution

The fourth proportional to 10,160.64, 15,194.88 and 10,033.92 is: 15,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.64 : 15,194.88 = 10,033.92 : x
  2. Step 2: Convert to fraction form
    10,160.64/15,194.88 = 10,033.92/x
  3. Step 3: Cross multiply
    10,160.64x = 15,194.88 × 10,033.92
  4. Step 4: Simplify right side
    10,160.64x = 152,464,210.33
  5. Step 5: Solve for x
    x = 152,464,210.33/10,160.64
  6. Step 6: Final answer
    x = 15,005.37

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