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Finding the Fourth Proportional to 13,647.42, 20,458.17 and 5,332.77

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Solution

The fourth proportional to 13,647.42, 20,458.17 and 5,332.77 is: 7,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.42 : 20,458.17 = 5,332.77 : x
  2. Step 2: Convert to fraction form
    13,647.42/20,458.17 = 5,332.77/x
  3. Step 3: Cross multiply
    13,647.42x = 20,458.17 × 5,332.77
  4. Step 4: Simplify right side
    13,647.42x = 109,098,715.23
  5. Step 5: Solve for x
    x = 109,098,715.23/13,647.42
  6. Step 6: Final answer
    x = 7,994.09

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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.