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Finding the Fourth Proportional to 26,166, 39,257.64 and 10,575.12

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Solution

The fourth proportional to 26,166, 39,257.64 and 10,575.12 is: 15,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,166 : 39,257.64 = 10,575.12 : x
  2. Step 2: Convert to fraction form
    26,166/39,257.64 = 10,575.12/x
  3. Step 3: Cross multiply
    26,166x = 39,257.64 × 10,575.12
  4. Step 4: Simplify right side
    26,166x = 415,154,253.92
  5. Step 5: Solve for x
    x = 415,154,253.92/26,166
  6. Step 6: Final answer
    x = 15,866.17

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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.