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Finding the Fourth Proportional to 16,470.12, 22,728.54 and 9,018.12

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Solution

The fourth proportional to 16,470.12, 22,728.54 and 9,018.12 is: 12,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.12 : 22,728.54 = 9,018.12 : x
  2. Step 2: Convert to fraction form
    16,470.12/22,728.54 = 9,018.12/x
  3. Step 3: Cross multiply
    16,470.12x = 22,728.54 × 9,018.12
  4. Step 4: Simplify right side
    16,470.12x = 204,968,701.14
  5. Step 5: Solve for x
    x = 204,968,701.14/16,470.12
  6. Step 6: Final answer
    x = 12,444.88

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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.