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Finding the Fourth Proportional to 12,386.69, 17,096.67 and 7,607.78

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Solution

The fourth proportional to 12,386.69, 17,096.67 and 7,607.78 is: 10,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.69 : 17,096.67 = 7,607.78 : x
  2. Step 2: Convert to fraction form
    12,386.69/17,096.67 = 7,607.78/x
  3. Step 3: Cross multiply
    12,386.69x = 17,096.67 × 7,607.78
  4. Step 4: Simplify right side
    12,386.69x = 130,067,618.61
  5. Step 5: Solve for x
    x = 130,067,618.61/12,386.69
  6. Step 6: Final answer
    x = 10,500.60

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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.