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Finding the Fourth Proportional to 12,777.32, 19,166.78 and 4,012.58

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Solution

The fourth proportional to 12,777.32, 19,166.78 and 4,012.58 is: 6,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.32 : 19,166.78 = 4,012.58 : x
  2. Step 2: Convert to fraction form
    12,777.32/19,166.78 = 4,012.58/x
  3. Step 3: Cross multiply
    12,777.32x = 19,166.78 × 4,012.58
  4. Step 4: Simplify right side
    12,777.32x = 76,908,122.20
  5. Step 5: Solve for x
    x = 76,908,122.20/12,777.32
  6. Step 6: Final answer
    x = 6,019.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.