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Finding the Fourth Proportional to 23,199.85, 32,015.28 and 12,851.29

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Solution

The fourth proportional to 23,199.85, 32,015.28 and 12,851.29 is: 17,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.85 : 32,015.28 = 12,851.29 : x
  2. Step 2: Convert to fraction form
    23,199.85/32,015.28 = 12,851.29/x
  3. Step 3: Cross multiply
    23,199.85x = 32,015.28 × 12,851.29
  4. Step 4: Simplify right side
    23,199.85x = 411,437,647.71
  5. Step 5: Solve for x
    x = 411,437,647.71/23,199.85
  6. Step 6: Final answer
    x = 17,734.50

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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.