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Finding the Fourth Proportional to 13,463.42, 20,205.59 and 9,332.34

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Solution

The fourth proportional to 13,463.42, 20,205.59 and 9,332.34 is: 14,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.42 : 20,205.59 = 9,332.34 : x
  2. Step 2: Convert to fraction form
    13,463.42/20,205.59 = 9,332.34/x
  3. Step 3: Cross multiply
    13,463.42x = 20,205.59 × 9,332.34
  4. Step 4: Simplify right side
    13,463.42x = 188,565,435.78
  5. Step 5: Solve for x
    x = 188,565,435.78/13,463.42
  6. Step 6: Final answer
    x = 14,005.76

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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.