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Finding the Fourth Proportional to 24,948, 37,431.72 and 9,366.84

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Solution

The fourth proportional to 24,948, 37,431.72 and 9,366.84 is: 14,053.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948 : 37,431.72 = 9,366.84 : x
  2. Step 2: Convert to fraction form
    24,948/37,431.72 = 9,366.84/x
  3. Step 3: Cross multiply
    24,948x = 37,431.72 × 9,366.84
  4. Step 4: Simplify right side
    24,948x = 350,616,932.16
  5. Step 5: Solve for x
    x = 350,616,932.16/24,948
  6. Step 6: Final answer
    x = 14,053.91

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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.