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Finding the Fourth Proportional to 12,522.90, 18,778.51 and 7,259.42

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Solution

The fourth proportional to 12,522.90, 18,778.51 and 7,259.42 is: 10,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.90 : 18,778.51 = 7,259.42 : x
  2. Step 2: Convert to fraction form
    12,522.90/18,778.51 = 7,259.42/x
  3. Step 3: Cross multiply
    12,522.90x = 18,778.51 × 7,259.42
  4. Step 4: Simplify right side
    12,522.90x = 136,321,024.24
  5. Step 5: Solve for x
    x = 136,321,024.24/12,522.90
  6. Step 6: Final answer
    x = 10,885.74

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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.