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Finding the Fourth Proportional to 24,369.34, 36,548.40 and 7,726.27

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Solution

The fourth proportional to 24,369.34, 36,548.40 and 7,726.27 is: 11,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.34 : 36,548.40 = 7,726.27 : x
  2. Step 2: Convert to fraction form
    24,369.34/36,548.40 = 7,726.27/x
  3. Step 3: Cross multiply
    24,369.34x = 36,548.40 × 7,726.27
  4. Step 4: Simplify right side
    24,369.34x = 282,382,806.47
  5. Step 5: Solve for x
    x = 282,382,806.47/24,369.34
  6. Step 6: Final answer
    x = 11,587.63

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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.