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Finding the Fourth Proportional to 13,564.42, 20,332.71 and 6,534.10

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Solution

The fourth proportional to 13,564.42, 20,332.71 and 6,534.10 is: 9,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.42 : 20,332.71 = 6,534.10 : x
  2. Step 2: Convert to fraction form
    13,564.42/20,332.71 = 6,534.10/x
  3. Step 3: Cross multiply
    13,564.42x = 20,332.71 × 6,534.10
  4. Step 4: Simplify right side
    13,564.42x = 132,855,960.41
  5. Step 5: Solve for x
    x = 132,855,960.41/13,564.42
  6. Step 6: Final answer
    x = 9,794.44

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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.