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Finding the Fourth Proportional to 14,443.52, 19,922.96 and 9,959.60

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Solution

The fourth proportional to 14,443.52, 19,922.96 and 9,959.60 is: 13,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.52 : 19,922.96 = 9,959.60 : x
  2. Step 2: Convert to fraction form
    14,443.52/19,922.96 = 9,959.60/x
  3. Step 3: Cross multiply
    14,443.52x = 19,922.96 × 9,959.60
  4. Step 4: Simplify right side
    14,443.52x = 198,424,712.42
  5. Step 5: Solve for x
    x = 198,424,712.42/14,443.52
  6. Step 6: Final answer
    x = 13,737.97

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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.