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Finding the Fourth Proportional to 10,081.80, 15,112.38 and 9,828.84

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Solution

The fourth proportional to 10,081.80, 15,112.38 and 9,828.84 is: 14,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.80 : 15,112.38 = 9,828.84 : x
  2. Step 2: Convert to fraction form
    10,081.80/15,112.38 = 9,828.84/x
  3. Step 3: Cross multiply
    10,081.80x = 15,112.38 × 9,828.84
  4. Step 4: Simplify right side
    10,081.80x = 148,537,165.04
  5. Step 5: Solve for x
    x = 148,537,165.04/10,081.80
  6. Step 6: Final answer
    x = 14,733.20

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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.