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Finding the Fourth Proportional to 15,764.80, 23,647.20 and 14,123.20

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Solution

The fourth proportional to 15,764.80, 23,647.20 and 14,123.20 is: 21,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.80 : 23,647.20 = 14,123.20 : x
  2. Step 2: Convert to fraction form
    15,764.80/23,647.20 = 14,123.20/x
  3. Step 3: Cross multiply
    15,764.80x = 23,647.20 × 14,123.20
  4. Step 4: Simplify right side
    15,764.80x = 333,974,135.04
  5. Step 5: Solve for x
    x = 333,974,135.04/15,764.80
  6. Step 6: Final answer
    x = 21,184.80

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1.5x scale

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.