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Finding the Fourth Proportional to 16,569.24, 22,865.62 and 9,117.24

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Solution

The fourth proportional to 16,569.24, 22,865.62 and 9,117.24 is: 12,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.24 : 22,865.62 = 9,117.24 : x
  2. Step 2: Convert to fraction form
    16,569.24/22,865.62 = 9,117.24/x
  3. Step 3: Cross multiply
    16,569.24x = 22,865.62 × 9,117.24
  4. Step 4: Simplify right side
    16,569.24x = 208,471,345.29
  5. Step 5: Solve for x
    x = 208,471,345.29/16,569.24
  6. Step 6: Final answer
    x = 12,581.83

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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.