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Finding the Fourth Proportional to 16,574.24, 22,867.29 and 9,402.97

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Solution

The fourth proportional to 16,574.24, 22,867.29 and 9,402.97 is: 12,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.24 : 22,867.29 = 9,402.97 : x
  2. Step 2: Convert to fraction form
    16,574.24/22,867.29 = 9,402.97/x
  3. Step 3: Cross multiply
    16,574.24x = 22,867.29 × 9,402.97
  4. Step 4: Simplify right side
    16,574.24x = 215,020,441.85
  5. Step 5: Solve for x
    x = 215,020,441.85/16,574.24
  6. Step 6: Final answer
    x = 12,973.17

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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.