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Finding the Fourth Proportional to 15,862.40, 23,770.80 and 8,922.24

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Solution

The fourth proportional to 15,862.40, 23,770.80 and 8,922.24 is: 13,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.40 : 23,770.80 = 8,922.24 : x
  2. Step 2: Convert to fraction form
    15,862.40/23,770.80 = 8,922.24/x
  3. Step 3: Cross multiply
    15,862.40x = 23,770.80 × 8,922.24
  4. Step 4: Simplify right side
    15,862.40x = 212,088,782.59
  5. Step 5: Solve for x
    x = 212,088,782.59/15,862.40
  6. Step 6: Final answer
    x = 13,370.54

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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.