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Finding the Fourth Proportional to 12,538.88, 17,303.68 and 6,949.88

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Solution

The fourth proportional to 12,538.88, 17,303.68 and 6,949.88 is: 9,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.88 : 17,303.68 = 6,949.88 : x
  2. Step 2: Convert to fraction form
    12,538.88/17,303.68 = 6,949.88/x
  3. Step 3: Cross multiply
    12,538.88x = 17,303.68 × 6,949.88
  4. Step 4: Simplify right side
    12,538.88x = 120,258,395.67
  5. Step 5: Solve for x
    x = 120,258,395.67/12,538.88
  6. Step 6: Final answer
    x = 9,590.84

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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.