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Finding the Fourth Proportional to 23,726.71, 35,578.05 and 7,926.11

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Solution

The fourth proportional to 23,726.71, 35,578.05 and 7,926.11 is: 11,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.71 : 35,578.05 = 7,926.11 : x
  2. Step 2: Convert to fraction form
    23,726.71/35,578.05 = 7,926.11/x
  3. Step 3: Cross multiply
    23,726.71x = 35,578.05 × 7,926.11
  4. Step 4: Simplify right side
    23,726.71x = 281,995,537.89
  5. Step 5: Solve for x
    x = 281,995,537.89/23,726.71
  6. Step 6: Final answer
    x = 11,885.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.