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Finding the Fourth Proportional to 24,699.92, 37,056.82 and 9,919.22

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Solution

The fourth proportional to 24,699.92, 37,056.82 and 9,919.22 is: 14,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699.92 : 37,056.82 = 9,919.22 : x
  2. Step 2: Convert to fraction form
    24,699.92/37,056.82 = 9,919.22/x
  3. Step 3: Cross multiply
    24,699.92x = 37,056.82 × 9,919.22
  4. Step 4: Simplify right side
    24,699.92x = 367,574,515.20
  5. Step 5: Solve for x
    x = 367,574,515.20/24,699.92
  6. Step 6: Final answer
    x = 14,881.61

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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.