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Finding the Fourth Proportional to 12,349.69, 17,039.94 and 7,315.49

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Solution

The fourth proportional to 12,349.69, 17,039.94 and 7,315.49 is: 10,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.69 : 17,039.94 = 7,315.49 : x
  2. Step 2: Convert to fraction form
    12,349.69/17,039.94 = 7,315.49/x
  3. Step 3: Cross multiply
    12,349.69x = 17,039.94 × 7,315.49
  4. Step 4: Simplify right side
    12,349.69x = 124,655,510.67
  5. Step 5: Solve for x
    x = 124,655,510.67/12,349.69
  6. Step 6: Final answer
    x = 10,093.82

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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.