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Finding the Fourth Proportional to 24,903.84, 37,355.15 and 9,112.48

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Solution

The fourth proportional to 24,903.84, 37,355.15 and 9,112.48 is: 13,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,903.84 : 37,355.15 = 9,112.48 : x
  2. Step 2: Convert to fraction form
    24,903.84/37,355.15 = 9,112.48/x
  3. Step 3: Cross multiply
    24,903.84x = 37,355.15 × 9,112.48
  4. Step 4: Simplify right side
    24,903.84x = 340,398,127.88
  5. Step 5: Solve for x
    x = 340,398,127.88/24,903.84
  6. Step 6: Final answer
    x = 13,668.50

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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.