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Finding the Fourth Proportional to 16,569.54, 22,866.12 and 9,016.07

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Solution

The fourth proportional to 16,569.54, 22,866.12 and 9,016.07 is: 12,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.54 : 22,866.12 = 9,016.07 : x
  2. Step 2: Convert to fraction form
    16,569.54/22,866.12 = 9,016.07/x
  3. Step 3: Cross multiply
    16,569.54x = 22,866.12 × 9,016.07
  4. Step 4: Simplify right side
    16,569.54x = 206,162,424.22
  5. Step 5: Solve for x
    x = 206,162,424.22/16,569.54
  6. Step 6: Final answer
    x = 12,442.25

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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.