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Finding the Fourth Proportional to 24,674.04, 37,014.72 and 7,141.68

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Solution

The fourth proportional to 24,674.04, 37,014.72 and 7,141.68 is: 10,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674.04 : 37,014.72 = 7,141.68 : x
  2. Step 2: Convert to fraction form
    24,674.04/37,014.72 = 7,141.68/x
  3. Step 3: Cross multiply
    24,674.04x = 37,014.72 × 7,141.68
  4. Step 4: Simplify right side
    24,674.04x = 264,347,285.53
  5. Step 5: Solve for x
    x = 264,347,285.53/24,674.04
  6. Step 6: Final answer
    x = 10,713.58

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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.