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Finding the Fourth Proportional to 22,284.32, 33,417.84 and 8,242.16

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Solution

The fourth proportional to 22,284.32, 33,417.84 and 8,242.16 is: 12,360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.32 : 33,417.84 = 8,242.16 : x
  2. Step 2: Convert to fraction form
    22,284.32/33,417.84 = 8,242.16/x
  3. Step 3: Cross multiply
    22,284.32x = 33,417.84 × 8,242.16
  4. Step 4: Simplify right side
    22,284.32x = 275,435,184.13
  5. Step 5: Solve for x
    x = 275,435,184.13/22,284.32
  6. Step 6: Final answer
    x = 12,360.04

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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.