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Finding the Fourth Proportional to 14,348.29, 21,524.67 and 7,324.50

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Solution

The fourth proportional to 14,348.29, 21,524.67 and 7,324.50 is: 10,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.29 : 21,524.67 = 7,324.50 : x
  2. Step 2: Convert to fraction form
    14,348.29/21,524.67 = 7,324.50/x
  3. Step 3: Cross multiply
    14,348.29x = 21,524.67 × 7,324.50
  4. Step 4: Simplify right side
    14,348.29x = 157,657,445.42
  5. Step 5: Solve for x
    x = 157,657,445.42/14,348.29
  6. Step 6: Final answer
    x = 10,987.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.