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Finding the Fourth Proportional to 22,482.16, 33,714.50 and 8,434.54

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Solution

The fourth proportional to 22,482.16, 33,714.50 and 8,434.54 is: 12,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.16 : 33,714.50 = 8,434.54 : x
  2. Step 2: Convert to fraction form
    22,482.16/33,714.50 = 8,434.54/x
  3. Step 3: Cross multiply
    22,482.16x = 33,714.50 × 8,434.54
  4. Step 4: Simplify right side
    22,482.16x = 284,366,298.83
  5. Step 5: Solve for x
    x = 284,366,298.83/22,482.16
  6. Step 6: Final answer
    x = 12,648.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.