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Finding the Fourth Proportional to 12,357.28, 17,046.64 and 7,578.36

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Solution

The fourth proportional to 12,357.28, 17,046.64 and 7,578.36 is: 10,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.28 : 17,046.64 = 7,578.36 : x
  2. Step 2: Convert to fraction form
    12,357.28/17,046.64 = 7,578.36/x
  3. Step 3: Cross multiply
    12,357.28x = 17,046.64 × 7,578.36
  4. Step 4: Simplify right side
    12,357.28x = 129,185,574.71
  5. Step 5: Solve for x
    x = 129,185,574.71/12,357.28
  6. Step 6: Final answer
    x = 10,454.21

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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.