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Finding the Fourth Proportional to 15,102.85, 22,668.12 and 8,090.78

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Solution

The fourth proportional to 15,102.85, 22,668.12 and 8,090.78 is: 12,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.85 : 22,668.12 = 8,090.78 : x
  2. Step 2: Convert to fraction form
    15,102.85/22,668.12 = 8,090.78/x
  3. Step 3: Cross multiply
    15,102.85x = 22,668.12 × 8,090.78
  4. Step 4: Simplify right side
    15,102.85x = 183,402,808.38
  5. Step 5: Solve for x
    x = 183,402,808.38/15,102.85
  6. Step 6: Final answer
    x = 12,143.59

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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.