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Finding the Fourth Proportional to 12,578.32, 17,357.58 and 6,989.68

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Solution

The fourth proportional to 12,578.32, 17,357.58 and 6,989.68 is: 9,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.32 : 17,357.58 = 6,989.68 : x
  2. Step 2: Convert to fraction form
    12,578.32/17,357.58 = 6,989.68/x
  3. Step 3: Cross multiply
    12,578.32x = 17,357.58 × 6,989.68
  4. Step 4: Simplify right side
    12,578.32x = 121,323,929.77
  5. Step 5: Solve for x
    x = 121,323,929.77/12,578.32
  6. Step 6: Final answer
    x = 9,645.48

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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.