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Finding the Fourth Proportional to 13,382.64, 20,036.88 and 10,085.76

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Solution

The fourth proportional to 13,382.64, 20,036.88 and 10,085.76 is: 15,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.64 : 20,036.88 = 10,085.76 : x
  2. Step 2: Convert to fraction form
    13,382.64/20,036.88 = 10,085.76/x
  3. Step 3: Cross multiply
    13,382.64x = 20,036.88 × 10,085.76
  4. Step 4: Simplify right side
    13,382.64x = 202,087,162.83
  5. Step 5: Solve for x
    x = 202,087,162.83/13,382.64
  6. Step 6: Final answer
    x = 15,100.69

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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.