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Finding the Fourth Proportional to 12,026.40, 16,589.06 and 7,770.55

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Solution

The fourth proportional to 12,026.40, 16,589.06 and 7,770.55 is: 10,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.40 : 16,589.06 = 7,770.55 : x
  2. Step 2: Convert to fraction form
    12,026.40/16,589.06 = 7,770.55/x
  3. Step 3: Cross multiply
    12,026.40x = 16,589.06 × 7,770.55
  4. Step 4: Simplify right side
    12,026.40x = 128,906,120.18
  5. Step 5: Solve for x
    x = 128,906,120.18/12,026.40
  6. Step 6: Final answer
    x = 10,718.60

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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.