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Finding the Fourth Proportional to 24,770.16, 37,157.00 and 9,979.16

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Solution

The fourth proportional to 24,770.16, 37,157.00 and 9,979.16 is: 14,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.16 : 37,157.00 = 9,979.16 : x
  2. Step 2: Convert to fraction form
    24,770.16/37,157.00 = 9,979.16/x
  3. Step 3: Cross multiply
    24,770.16x = 37,157.00 × 9,979.16
  4. Step 4: Simplify right side
    24,770.16x = 370,795,412.44
  5. Step 5: Solve for x
    x = 370,795,412.44/24,770.16
  6. Step 6: Final answer
    x = 14,969.44

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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.