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Finding the Fourth Proportional to 13,130.96, 18,114.46 and 8,883.50

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Solution

The fourth proportional to 13,130.96, 18,114.46 and 8,883.50 is: 12,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.96 : 18,114.46 = 8,883.50 : x
  2. Step 2: Convert to fraction form
    13,130.96/18,114.46 = 8,883.50/x
  3. Step 3: Cross multiply
    13,130.96x = 18,114.46 × 8,883.50
  4. Step 4: Simplify right side
    13,130.96x = 160,919,805.41
  5. Step 5: Solve for x
    x = 160,919,805.41/13,130.96
  6. Step 6: Final answer
    x = 12,254.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.