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Finding the Fourth Proportional to 12,846.31, 17,728.42 and 7,468.72

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Solution

The fourth proportional to 12,846.31, 17,728.42 and 7,468.72 is: 10,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.31 : 17,728.42 = 7,468.72 : x
  2. Step 2: Convert to fraction form
    12,846.31/17,728.42 = 7,468.72/x
  3. Step 3: Cross multiply
    12,846.31x = 17,728.42 × 7,468.72
  4. Step 4: Simplify right side
    12,846.31x = 132,408,497.71
  5. Step 5: Solve for x
    x = 132,408,497.71/12,846.31
  6. Step 6: Final answer
    x = 10,307.13

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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.