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Finding the Fourth Proportional to 12,488.36, 17,233.65 and 6,823.13

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Solution

The fourth proportional to 12,488.36, 17,233.65 and 6,823.13 is: 9,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.36 : 17,233.65 = 6,823.13 : x
  2. Step 2: Convert to fraction form
    12,488.36/17,233.65 = 6,823.13/x
  3. Step 3: Cross multiply
    12,488.36x = 17,233.65 × 6,823.13
  4. Step 4: Simplify right side
    12,488.36x = 117,587,434.32
  5. Step 5: Solve for x
    x = 117,587,434.32/12,488.36
  6. Step 6: Final answer
    x = 9,415.76

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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.