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Finding the Fourth Proportional to 15,758.80, 23,638.20 and 14,117.20

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Solution

The fourth proportional to 15,758.80, 23,638.20 and 14,117.20 is: 21,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.80 : 23,638.20 = 14,117.20 : x
  2. Step 2: Convert to fraction form
    15,758.80/23,638.20 = 14,117.20/x
  3. Step 3: Cross multiply
    15,758.80x = 23,638.20 × 14,117.20
  4. Step 4: Simplify right side
    15,758.80x = 333,705,197.04
  5. Step 5: Solve for x
    x = 333,705,197.04/15,758.80
  6. Step 6: Final answer
    x = 21,175.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.