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Finding the Fourth Proportional to 16,089.66, 22,203.71 and 9,016.13

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Solution

The fourth proportional to 16,089.66, 22,203.71 and 9,016.13 is: 12,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.66 : 22,203.71 = 9,016.13 : x
  2. Step 2: Convert to fraction form
    16,089.66/22,203.71 = 9,016.13/x
  3. Step 3: Cross multiply
    16,089.66x = 22,203.71 × 9,016.13
  4. Step 4: Simplify right side
    16,089.66x = 200,191,535.84
  5. Step 5: Solve for x
    x = 200,191,535.84/16,089.66
  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.