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Finding the Fourth Proportional to 14,678.21, 20,242.51 and 9,640.42

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Solution

The fourth proportional to 14,678.21, 20,242.51 and 9,640.42 is: 13,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.21 : 20,242.51 = 9,640.42 : x
  2. Step 2: Convert to fraction form
    14,678.21/20,242.51 = 9,640.42/x
  3. Step 3: Cross multiply
    14,678.21x = 20,242.51 × 9,640.42
  4. Step 4: Simplify right side
    14,678.21x = 195,146,223.55
  5. Step 5: Solve for x
    x = 195,146,223.55/14,678.21
  6. Step 6: Final answer
    x = 13,294.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.