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Finding the Fourth Proportional to 24,786, 37,175.22 and 9,991.08

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Solution

The fourth proportional to 24,786, 37,175.22 and 9,991.08 is: 14,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 37,175.22 = 9,991.08 : x
  2. Step 2: Convert to fraction form
    24,786/37,175.22 = 9,991.08/x
  3. Step 3: Cross multiply
    24,786x = 37,175.22 × 9,991.08
  4. Step 4: Simplify right side
    24,786x = 371,420,597.04
  5. Step 5: Solve for x
    x = 371,420,597.04/24,786
  6. Step 6: Final answer
    x = 14,985.10

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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.