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Finding the Fourth Proportional to 22,306.64, 30,783.16 and 12,875.20

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Solution

The fourth proportional to 22,306.64, 30,783.16 and 12,875.20 is: 17,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.64 : 30,783.16 = 12,875.20 : x
  2. Step 2: Convert to fraction form
    22,306.64/30,783.16 = 12,875.20/x
  3. Step 3: Cross multiply
    22,306.64x = 30,783.16 × 12,875.20
  4. Step 4: Simplify right side
    22,306.64x = 396,339,490.13
  5. Step 5: Solve for x
    x = 396,339,490.13/22,306.64
  6. Step 6: Final answer
    x = 17,767.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.