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Finding the Fourth Proportional to 14,242.11, 21,355.82 and 8,330.53

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Solution

The fourth proportional to 14,242.11, 21,355.82 and 8,330.53 is: 12,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.11 : 21,355.82 = 8,330.53 : x
  2. Step 2: Convert to fraction form
    14,242.11/21,355.82 = 8,330.53/x
  3. Step 3: Cross multiply
    14,242.11x = 21,355.82 × 8,330.53
  4. Step 4: Simplify right side
    14,242.11x = 177,905,266.62
  5. Step 5: Solve for x
    x = 177,905,266.62/14,242.11
  6. Step 6: Final answer
    x = 12,491.50

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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.