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Finding the Fourth Proportional to 12,346.61, 17,039.31 and 7,041.83

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Solution

The fourth proportional to 12,346.61, 17,039.31 and 7,041.83 is: 9,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.61 : 17,039.31 = 7,041.83 : x
  2. Step 2: Convert to fraction form
    12,346.61/17,039.31 = 7,041.83/x
  3. Step 3: Cross multiply
    12,346.61x = 17,039.31 × 7,041.83
  4. Step 4: Simplify right side
    12,346.61x = 119,987,839.14
  5. Step 5: Solve for x
    x = 119,987,839.14/12,346.61
  6. Step 6: Final answer
    x = 9,718.29

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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.