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Finding the Fourth Proportional to 24,957.44, 37,436.40 and 6,489.44

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Solution

The fourth proportional to 24,957.44, 37,436.40 and 6,489.44 is: 9,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957.44 : 37,436.40 = 6,489.44 : x
  2. Step 2: Convert to fraction form
    24,957.44/37,436.40 = 6,489.44/x
  3. Step 3: Cross multiply
    24,957.44x = 37,436.40 × 6,489.44
  4. Step 4: Simplify right side
    24,957.44x = 242,941,271.62
  5. Step 5: Solve for x
    x = 242,941,271.62/24,957.44
  6. Step 6: Final answer
    x = 9,734.22

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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.