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Finding the Fourth Proportional to 26,175.16, 39,262.94 and 7,455.17

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Solution

The fourth proportional to 26,175.16, 39,262.94 and 7,455.17 is: 11,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,175.16 : 39,262.94 = 7,455.17 : x
  2. Step 2: Convert to fraction form
    26,175.16/39,262.94 = 7,455.17/x
  3. Step 3: Cross multiply
    26,175.16x = 39,262.94 × 7,455.17
  4. Step 4: Simplify right side
    26,175.16x = 292,711,714.72
  5. Step 5: Solve for x
    x = 292,711,714.72/26,175.16
  6. Step 6: Final answer
    x = 11,182.81

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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.