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Finding the Fourth Proportional to 15,823.20, 23,734.80 and 14,899.80

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Solution

The fourth proportional to 15,823.20, 23,734.80 and 14,899.80 is: 22,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.20 : 23,734.80 = 14,899.80 : x
  2. Step 2: Convert to fraction form
    15,823.20/23,734.80 = 14,899.80/x
  3. Step 3: Cross multiply
    15,823.20x = 23,734.80 × 14,899.80
  4. Step 4: Simplify right side
    15,823.20x = 353,643,773.04
  5. Step 5: Solve for x
    x = 353,643,773.04/15,823.20
  6. Step 6: Final answer
    x = 22,349.70

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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.