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Finding the Fourth Proportional to 26,165.51, 39,248.27 and 7,697.51

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Solution

The fourth proportional to 26,165.51, 39,248.27 and 7,697.51 is: 11,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.51 : 39,248.27 = 7,697.51 : x
  2. Step 2: Convert to fraction form
    26,165.51/39,248.27 = 7,697.51/x
  3. Step 3: Cross multiply
    26,165.51x = 39,248.27 × 7,697.51
  4. Step 4: Simplify right side
    26,165.51x = 302,113,950.81
  5. Step 5: Solve for x
    x = 302,113,950.81/26,165.51
  6. Step 6: Final answer
    x = 11,546.27

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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.