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Finding the Fourth Proportional to 14,697.44, 20,283.17 and 9,032.42

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Solution

The fourth proportional to 14,697.44, 20,283.17 and 9,032.42 is: 12,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.44 : 20,283.17 = 9,032.42 : x
  2. Step 2: Convert to fraction form
    14,697.44/20,283.17 = 9,032.42/x
  3. Step 3: Cross multiply
    14,697.44x = 20,283.17 × 9,032.42
  4. Step 4: Simplify right side
    14,697.44x = 183,206,115.92
  5. Step 5: Solve for x
    x = 183,206,115.92/14,697.44
  6. Step 6: Final answer
    x = 12,465.17

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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.