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Finding the Fourth Proportional to 24,049.71, 36,058.77 and 7,404.21

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Solution

The fourth proportional to 24,049.71, 36,058.77 and 7,404.21 is: 11,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.71 : 36,058.77 = 7,404.21 : x
  2. Step 2: Convert to fraction form
    24,049.71/36,058.77 = 7,404.21/x
  3. Step 3: Cross multiply
    24,049.71x = 36,058.77 × 7,404.21
  4. Step 4: Simplify right side
    24,049.71x = 266,986,705.42
  5. Step 5: Solve for x
    x = 266,986,705.42/24,049.71
  6. Step 6: Final answer
    x = 11,101.45

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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.