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Finding the Fourth Proportional to 22,802.65, 34,207.40 and 8,008.96

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Solution

The fourth proportional to 22,802.65, 34,207.40 and 8,008.96 is: 12,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.65 : 34,207.40 = 8,008.96 : x
  2. Step 2: Convert to fraction form
    22,802.65/34,207.40 = 8,008.96/x
  3. Step 3: Cross multiply
    22,802.65x = 34,207.40 × 8,008.96
  4. Step 4: Simplify right side
    22,802.65x = 273,965,658.26
  5. Step 5: Solve for x
    x = 273,965,658.26/22,802.65
  6. Step 6: Final answer
    x = 12,014.64

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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.