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Finding the Fourth Proportional to 14,335.44, 19,766.92 and 9,023.76

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Solution

The fourth proportional to 14,335.44, 19,766.92 and 9,023.76 is: 12,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335.44 : 19,766.92 = 9,023.76 : x
  2. Step 2: Convert to fraction form
    14,335.44/19,766.92 = 9,023.76/x
  3. Step 3: Cross multiply
    14,335.44x = 19,766.92 × 9,023.76
  4. Step 4: Simplify right side
    14,335.44x = 178,371,942.02
  5. Step 5: Solve for x
    x = 178,371,942.02/14,335.44
  6. Step 6: Final answer
    x = 12,442.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.