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Finding the Fourth Proportional to 19,767.12, 29,645.64 and 8,078.16

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Solution

The fourth proportional to 19,767.12, 29,645.64 and 8,078.16 is: 12,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.12 : 29,645.64 = 8,078.16 : x
  2. Step 2: Convert to fraction form
    19,767.12/29,645.64 = 8,078.16/x
  3. Step 3: Cross multiply
    19,767.12x = 29,645.64 × 8,078.16
  4. Step 4: Simplify right side
    19,767.12x = 239,482,223.22
  5. Step 5: Solve for x
    x = 239,482,223.22/19,767.12
  6. Step 6: Final answer
    x = 12,115.18

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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.