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Finding the Fourth Proportional to 12,314.95, 18,461.40 and 4,521.94

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Solution

The fourth proportional to 12,314.95, 18,461.40 and 4,521.94 is: 6,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.95 : 18,461.40 = 4,521.94 : x
  2. Step 2: Convert to fraction form
    12,314.95/18,461.40 = 4,521.94/x
  3. Step 3: Cross multiply
    12,314.95x = 18,461.40 × 4,521.94
  4. Step 4: Simplify right side
    12,314.95x = 83,481,343.12
  5. Step 5: Solve for x
    x = 83,481,343.12/12,314.95
  6. Step 6: Final answer
    x = 6,778.86

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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.