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Finding the Fourth Proportional to 24,767.36, 37,168.68 and 9,980.24

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Solution

The fourth proportional to 24,767.36, 37,168.68 and 9,980.24 is: 14,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.36 : 37,168.68 = 9,980.24 : x
  2. Step 2: Convert to fraction form
    24,767.36/37,168.68 = 9,980.24/x
  3. Step 3: Cross multiply
    24,767.36x = 37,168.68 × 9,980.24
  4. Step 4: Simplify right side
    24,767.36x = 370,952,346.88
  5. Step 5: Solve for x
    x = 370,952,346.88/24,767.36
  6. Step 6: Final answer
    x = 14,977.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.