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Finding the Fourth Proportional to 12,751.66, 19,096.71 and 7,671.24

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Solution

The fourth proportional to 12,751.66, 19,096.71 and 7,671.24 is: 11,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.66 : 19,096.71 = 7,671.24 : x
  2. Step 2: Convert to fraction form
    12,751.66/19,096.71 = 7,671.24/x
  3. Step 3: Cross multiply
    12,751.66x = 19,096.71 × 7,671.24
  4. Step 4: Simplify right side
    12,751.66x = 146,495,416.85
  5. Step 5: Solve for x
    x = 146,495,416.85/12,751.66
  6. Step 6: Final answer
    x = 11,488.34

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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.