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Finding the Fourth Proportional to 24,712.26, 37,070.46 and 7,182.11

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Solution

The fourth proportional to 24,712.26, 37,070.46 and 7,182.11 is: 10,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.26 : 37,070.46 = 7,182.11 : x
  2. Step 2: Convert to fraction form
    24,712.26/37,070.46 = 7,182.11/x
  3. Step 3: Cross multiply
    24,712.26x = 37,070.46 × 7,182.11
  4. Step 4: Simplify right side
    24,712.26x = 266,243,936.12
  5. Step 5: Solve for x
    x = 266,243,936.12/24,712.26
  6. Step 6: Final answer
    x = 10,773.76

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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.