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Finding the Fourth Proportional to 12,382.40, 17,081.93 and 7,276.23

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Solution

The fourth proportional to 12,382.40, 17,081.93 and 7,276.23 is: 10,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.40 : 17,081.93 = 7,276.23 : x
  2. Step 2: Convert to fraction form
    12,382.40/17,081.93 = 7,276.23/x
  3. Step 3: Cross multiply
    12,382.40x = 17,081.93 × 7,276.23
  4. Step 4: Simplify right side
    12,382.40x = 124,292,069.71
  5. Step 5: Solve for x
    x = 124,292,069.71/12,382.40
  6. Step 6: Final answer
    x = 10,037.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.