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Finding the Fourth Proportional to 17,926.84, 24,737.15 and 9,967.78

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Solution

The fourth proportional to 17,926.84, 24,737.15 and 9,967.78 is: 13,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.84 : 24,737.15 = 9,967.78 : x
  2. Step 2: Convert to fraction form
    17,926.84/24,737.15 = 9,967.78/x
  3. Step 3: Cross multiply
    17,926.84x = 24,737.15 × 9,967.78
  4. Step 4: Simplify right side
    17,926.84x = 246,574,419.19
  5. Step 5: Solve for x
    x = 246,574,419.19/17,926.84
  6. Step 6: Final answer
    x = 13,754.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.