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Finding the Fourth Proportional to 24,805, 37,207.50 and 15,577.48

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Solution

The fourth proportional to 24,805, 37,207.50 and 15,577.48 is: 23,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805 : 37,207.50 = 15,577.48 : x
  2. Step 2: Convert to fraction form
    24,805/37,207.50 = 15,577.48/x
  3. Step 3: Cross multiply
    24,805x = 37,207.50 × 15,577.48
  4. Step 4: Simplify right side
    24,805x = 579,599,087.10
  5. Step 5: Solve for x
    x = 579,599,087.10/24,805
  6. Step 6: Final answer
    x = 23,366.22

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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.