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Finding the Fourth Proportional to 13,428.16, 20,148.84 and 6,037.84

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Solution

The fourth proportional to 13,428.16, 20,148.84 and 6,037.84 is: 9,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.16 : 20,148.84 = 6,037.84 : x
  2. Step 2: Convert to fraction form
    13,428.16/20,148.84 = 6,037.84/x
  3. Step 3: Cross multiply
    13,428.16x = 20,148.84 × 6,037.84
  4. Step 4: Simplify right side
    13,428.16x = 121,655,472.11
  5. Step 5: Solve for x
    x = 121,655,472.11/13,428.16
  6. Step 6: Final answer
    x = 9,059.73

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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.