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Finding the Fourth Proportional to 24,647.74, 36,996.27 and 11,509.36

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Solution

The fourth proportional to 24,647.74, 36,996.27 and 11,509.36 is: 17,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.74 : 36,996.27 = 11,509.36 : x
  2. Step 2: Convert to fraction form
    24,647.74/36,996.27 = 11,509.36/x
  3. Step 3: Cross multiply
    24,647.74x = 36,996.27 × 11,509.36
  4. Step 4: Simplify right side
    24,647.74x = 425,803,390.09
  5. Step 5: Solve for x
    x = 425,803,390.09/24,647.74
  6. Step 6: Final answer
    x = 17,275.56

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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.