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Finding the Fourth Proportional to 14,920.75, 22,381.26 and 4,532.50

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Solution

The fourth proportional to 14,920.75, 22,381.26 and 4,532.50 is: 6,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.75 : 22,381.26 = 4,532.50 : x
  2. Step 2: Convert to fraction form
    14,920.75/22,381.26 = 4,532.50/x
  3. Step 3: Cross multiply
    14,920.75x = 22,381.26 × 4,532.50
  4. Step 4: Simplify right side
    14,920.75x = 101,443,060.95
  5. Step 5: Solve for x
    x = 101,443,060.95/14,920.75
  6. Step 6: Final answer
    x = 6,798.79

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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.