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Finding the Fourth Proportional to 24,012.46, 36,022.74 and 9,980.02

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Solution

The fourth proportional to 24,012.46, 36,022.74 and 9,980.02 is: 14,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.46 : 36,022.74 = 9,980.02 : x
  2. Step 2: Convert to fraction form
    24,012.46/36,022.74 = 9,980.02/x
  3. Step 3: Cross multiply
    24,012.46x = 36,022.74 × 9,980.02
  4. Step 4: Simplify right side
    24,012.46x = 359,507,665.65
  5. Step 5: Solve for x
    x = 359,507,665.65/24,012.46
  6. Step 6: Final answer
    x = 14,971.71

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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.