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Finding the Fourth Proportional to 10,020.76, 13,819.18 and 7,474.13

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Solution

The fourth proportional to 10,020.76, 13,819.18 and 7,474.13 is: 10,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.76 : 13,819.18 = 7,474.13 : x
  2. Step 2: Convert to fraction form
    10,020.76/13,819.18 = 7,474.13/x
  3. Step 3: Cross multiply
    10,020.76x = 13,819.18 × 7,474.13
  4. Step 4: Simplify right side
    10,020.76x = 103,286,347.81
  5. Step 5: Solve for x
    x = 103,286,347.81/10,020.76
  6. Step 6: Final answer
    x = 10,307.24

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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.