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Finding the Fourth Proportional to 24,913.94, 37,371.90 and 9,923.90

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Solution

The fourth proportional to 24,913.94, 37,371.90 and 9,923.90 is: 14,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,913.94 : 37,371.90 = 9,923.90 : x
  2. Step 2: Convert to fraction form
    24,913.94/37,371.90 = 9,923.90/x
  3. Step 3: Cross multiply
    24,913.94x = 37,371.90 × 9,923.90
  4. Step 4: Simplify right side
    24,913.94x = 370,874,998.41
  5. Step 5: Solve for x
    x = 370,874,998.41/24,913.94
  6. Step 6: Final answer
    x = 14,886.24

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Why These Related Problems?

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