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Finding the Fourth Proportional to 12,348.69, 17,041.46 and 7,312.82

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Solution

The fourth proportional to 12,348.69, 17,041.46 and 7,312.82 is: 10,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.69 : 17,041.46 = 7,312.82 : x
  2. Step 2: Convert to fraction form
    12,348.69/17,041.46 = 7,312.82/x
  3. Step 3: Cross multiply
    12,348.69x = 17,041.46 × 7,312.82
  4. Step 4: Simplify right side
    12,348.69x = 124,621,007.75
  5. Step 5: Solve for x
    x = 124,621,007.75/12,348.69
  6. Step 6: Final answer
    x = 10,091.84

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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.