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Finding the Fourth Proportional to 13,658.56, 20,465.58 and 5,329.12

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Solution

The fourth proportional to 13,658.56, 20,465.58 and 5,329.12 is: 7,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.56 : 20,465.58 = 5,329.12 : x
  2. Step 2: Convert to fraction form
    13,658.56/20,465.58 = 5,329.12/x
  3. Step 3: Cross multiply
    13,658.56x = 20,465.58 × 5,329.12
  4. Step 4: Simplify right side
    13,658.56x = 109,063,531.69
  5. Step 5: Solve for x
    x = 109,063,531.69/13,658.56
  6. Step 6: Final answer
    x = 7,984.99

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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.