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Finding the Fourth Proportional to 15,842.40, 23,821.20 and 15,496.80

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Solution

The fourth proportional to 15,842.40, 23,821.20 and 15,496.80 is: 23,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.40 : 23,821.20 = 15,496.80 : x
  2. Step 2: Convert to fraction form
    15,842.40/23,821.20 = 15,496.80/x
  3. Step 3: Cross multiply
    15,842.40x = 23,821.20 × 15,496.80
  4. Step 4: Simplify right side
    15,842.40x = 369,152,372.16
  5. Step 5: Solve for x
    x = 369,152,372.16/15,842.40
  6. Step 6: Final answer
    x = 23,301.54

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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.