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Finding the Fourth Proportional to 26,106.57, 39,165.93 and 8,575.34

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Solution

The fourth proportional to 26,106.57, 39,165.93 and 8,575.34 is: 12,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,106.57 : 39,165.93 = 8,575.34 : x
  2. Step 2: Convert to fraction form
    26,106.57/39,165.93 = 8,575.34/x
  3. Step 3: Cross multiply
    26,106.57x = 39,165.93 × 8,575.34
  4. Step 4: Simplify right side
    26,106.57x = 335,860,970.34
  5. Step 5: Solve for x
    x = 335,860,970.34/26,106.57
  6. Step 6: Final answer
    x = 12,865.00

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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.