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Finding the Fourth Proportional to 13,377.78, 18,461.36 and 8,339.02

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Solution

The fourth proportional to 13,377.78, 18,461.36 and 8,339.02 is: 11,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.78 : 18,461.36 = 8,339.02 : x
  2. Step 2: Convert to fraction form
    13,377.78/18,461.36 = 8,339.02/x
  3. Step 3: Cross multiply
    13,377.78x = 18,461.36 × 8,339.02
  4. Step 4: Simplify right side
    13,377.78x = 153,949,624.96
  5. Step 5: Solve for x
    x = 153,949,624.96/13,377.78
  6. Step 6: Final answer
    x = 11,507.86

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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.