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Finding the Fourth Proportional to 19,833.19, 29,734.02 and 9,830.90

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Solution

The fourth proportional to 19,833.19, 29,734.02 and 9,830.90 is: 14,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.19 : 29,734.02 = 9,830.90 : x
  2. Step 2: Convert to fraction form
    19,833.19/29,734.02 = 9,830.90/x
  3. Step 3: Cross multiply
    19,833.19x = 29,734.02 × 9,830.90
  4. Step 4: Simplify right side
    19,833.19x = 292,312,251.55
  5. Step 5: Solve for x
    x = 292,312,251.55/19,833.19
  6. Step 6: Final answer
    x = 14,738.54

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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.