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Finding the Fourth Proportional to 14,432.23, 19,915.43 and 8,379.71

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Solution

The fourth proportional to 14,432.23, 19,915.43 and 8,379.71 is: 11,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.23 : 19,915.43 = 8,379.71 : x
  2. Step 2: Convert to fraction form
    14,432.23/19,915.43 = 8,379.71/x
  3. Step 3: Cross multiply
    14,432.23x = 19,915.43 × 8,379.71
  4. Step 4: Simplify right side
    14,432.23x = 166,885,386.45
  5. Step 5: Solve for x
    x = 166,885,386.45/14,432.23
  6. Step 6: Final answer
    x = 11,563.38

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Why These Related Problems?

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