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Finding the Fourth Proportional to 14,920.50, 22,381.37 and 4,532.25

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Solution

The fourth proportional to 14,920.50, 22,381.37 and 4,532.25 is: 6,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.50 : 22,381.37 = 4,532.25 : x
  2. Step 2: Convert to fraction form
    14,920.50/22,381.37 = 4,532.25/x
  3. Step 3: Cross multiply
    14,920.50x = 22,381.37 × 4,532.25
  4. Step 4: Simplify right side
    14,920.50x = 101,437,941.52
  5. Step 5: Solve for x
    x = 101,437,941.52/14,920.50
  6. Step 6: Final answer
    x = 6,798.56

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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.