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Finding the Fourth Proportional to 12,657.90, 17,468.40 and 6,993.02

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Solution

The fourth proportional to 12,657.90, 17,468.40 and 6,993.02 is: 9,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.90 : 17,468.40 = 6,993.02 : x
  2. Step 2: Convert to fraction form
    12,657.90/17,468.40 = 6,993.02/x
  3. Step 3: Cross multiply
    12,657.90x = 17,468.40 × 6,993.02
  4. Step 4: Simplify right side
    12,657.90x = 122,156,870.57
  5. Step 5: Solve for x
    x = 122,156,870.57/12,657.90
  6. Step 6: Final answer
    x = 9,650.64

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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.