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Finding the Fourth Proportional to 26,314.10, 39,458.35 and 8,778

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Solution

The fourth proportional to 26,314.10, 39,458.35 and 8,778 is: 13,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,314.10 : 39,458.35 = 8,778 : x
  2. Step 2: Convert to fraction form
    26,314.10/39,458.35 = 8,778/x
  3. Step 3: Cross multiply
    26,314.10x = 39,458.35 × 8,778
  4. Step 4: Simplify right side
    26,314.10x = 346,365,374.36
  5. Step 5: Solve for x
    x = 346,365,374.36/26,314.10
  6. Step 6: Final answer
    x = 13,162.73

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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.