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Finding the Fourth Proportional to 24,814.47, 37,228.71 and 10,033.74

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Solution

The fourth proportional to 24,814.47, 37,228.71 and 10,033.74 is: 15,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.47 : 37,228.71 = 10,033.74 : x
  2. Step 2: Convert to fraction form
    24,814.47/37,228.71 = 10,033.74/x
  3. Step 3: Cross multiply
    24,814.47x = 37,228.71 × 10,033.74
  4. Step 4: Simplify right side
    24,814.47x = 373,543,196.68
  5. Step 5: Solve for x
    x = 373,543,196.68/24,814.47
  6. Step 6: Final answer
    x = 15,053.44

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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.