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Finding the Fourth Proportional to 14,536.54, 21,818.42 and 7,146.30

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Solution

The fourth proportional to 14,536.54, 21,818.42 and 7,146.30 is: 10,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.54 : 21,818.42 = 7,146.30 : x
  2. Step 2: Convert to fraction form
    14,536.54/21,818.42 = 7,146.30/x
  3. Step 3: Cross multiply
    14,536.54x = 21,818.42 × 7,146.30
  4. Step 4: Simplify right side
    14,536.54x = 155,920,974.85
  5. Step 5: Solve for x
    x = 155,920,974.85/14,536.54
  6. Step 6: Final answer
    x = 10,726.14

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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.