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Finding the Fourth Proportional to 16,089.64, 22,203.65 and 9,016.07

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Solution

The fourth proportional to 16,089.64, 22,203.65 and 9,016.07 is: 12,442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.64 : 22,203.65 = 9,016.07 : x
  2. Step 2: Convert to fraction form
    16,089.64/22,203.65 = 9,016.07/x
  3. Step 3: Cross multiply
    16,089.64x = 22,203.65 × 9,016.07
  4. Step 4: Simplify right side
    16,089.64x = 200,189,574.18
  5. Step 5: Solve for x
    x = 200,189,574.18/16,089.64
  6. Step 6: Final answer
    x = 12,442.14

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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.