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Finding the Fourth Proportional to 16,569.84, 22,866.04 and 9,016.32

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Solution

The fourth proportional to 16,569.84, 22,866.04 and 9,016.32 is: 12,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.84 : 22,866.04 = 9,016.32 : x
  2. Step 2: Convert to fraction form
    16,569.84/22,866.04 = 9,016.32/x
  3. Step 3: Cross multiply
    16,569.84x = 22,866.04 × 9,016.32
  4. Step 4: Simplify right side
    16,569.84x = 206,167,533.77
  5. Step 5: Solve for x
    x = 206,167,533.77/16,569.84
  6. Step 6: Final answer
    x = 12,442.34

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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.