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Finding the Fourth Proportional to 12,217.71, 18,332.02 and 7,023.58

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Solution

The fourth proportional to 12,217.71, 18,332.02 and 7,023.58 is: 10,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.71 : 18,332.02 = 7,023.58 : x
  2. Step 2: Convert to fraction form
    12,217.71/18,332.02 = 7,023.58/x
  3. Step 3: Cross multiply
    12,217.71x = 18,332.02 × 7,023.58
  4. Step 4: Simplify right side
    12,217.71x = 128,756,409.03
  5. Step 5: Solve for x
    x = 128,756,409.03/12,217.71
  6. Step 6: Final answer
    x = 10,538.51

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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.