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Finding the Fourth Proportional to 12,714.90, 17,535.15 and 8,233.98

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Solution

The fourth proportional to 12,714.90, 17,535.15 and 8,233.98 is: 11,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.90 : 17,535.15 = 8,233.98 : x
  2. Step 2: Convert to fraction form
    12,714.90/17,535.15 = 8,233.98/x
  3. Step 3: Cross multiply
    12,714.90x = 17,535.15 × 8,233.98
  4. Step 4: Simplify right side
    12,714.90x = 144,384,074.40
  5. Step 5: Solve for x
    x = 144,384,074.40/12,714.90
  6. Step 6: Final answer
    x = 11,355.50

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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.