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Finding the Fourth Proportional to 23,726.74, 35,578.02 and 7,926.08

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Solution

The fourth proportional to 23,726.74, 35,578.02 and 7,926.08 is: 11,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.74 : 35,578.02 = 7,926.08 : x
  2. Step 2: Convert to fraction form
    23,726.74/35,578.02 = 7,926.08/x
  3. Step 3: Cross multiply
    23,726.74x = 35,578.02 × 7,926.08
  4. Step 4: Simplify right side
    23,726.74x = 281,994,232.76
  5. Step 5: Solve for x
    x = 281,994,232.76/23,726.74
  6. Step 6: Final answer
    x = 11,885.08

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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.