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Finding the Fourth Proportional to 12,565.36, 17,339.88 and 6,976

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Solution

The fourth proportional to 12,565.36, 17,339.88 and 6,976 is: 9,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.36 : 17,339.88 = 6,976 : x
  2. Step 2: Convert to fraction form
    12,565.36/17,339.88 = 6,976/x
  3. Step 3: Cross multiply
    12,565.36x = 17,339.88 × 6,976
  4. Step 4: Simplify right side
    12,565.36x = 120,963,002.88
  5. Step 5: Solve for x
    x = 120,963,002.88/12,565.36
  6. Step 6: Final answer
    x = 9,626.70

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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.