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Finding the Fourth Proportional to 12,114.62, 16,714.59 and 7,077.50

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Solution

The fourth proportional to 12,114.62, 16,714.59 and 7,077.50 is: 9,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.62 : 16,714.59 = 7,077.50 : x
  2. Step 2: Convert to fraction form
    12,114.62/16,714.59 = 7,077.50/x
  3. Step 3: Cross multiply
    12,114.62x = 16,714.59 × 7,077.50
  4. Step 4: Simplify right side
    12,114.62x = 118,297,510.73
  5. Step 5: Solve for x
    x = 118,297,510.73/12,114.62
  6. Step 6: Final answer
    x = 9,764.86

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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.