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Finding the Fourth Proportional to 24,277.51, 36,416.22 and 7,638.97

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Solution

The fourth proportional to 24,277.51, 36,416.22 and 7,638.97 is: 11,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.51 : 36,416.22 = 7,638.97 : x
  2. Step 2: Convert to fraction form
    24,277.51/36,416.22 = 7,638.97/x
  3. Step 3: Cross multiply
    24,277.51x = 36,416.22 × 7,638.97
  4. Step 4: Simplify right side
    24,277.51x = 278,182,412.09
  5. Step 5: Solve for x
    x = 278,182,412.09/24,277.51
  6. Step 6: Final answer
    x = 11,458.44

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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.