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Finding the Fourth Proportional to 25,358.37, 38,041.65 and 7,824.09

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Solution

The fourth proportional to 25,358.37, 38,041.65 and 7,824.09 is: 11,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358.37 : 38,041.65 = 7,824.09 : x
  2. Step 2: Convert to fraction form
    25,358.37/38,041.65 = 7,824.09/x
  3. Step 3: Cross multiply
    25,358.37x = 38,041.65 × 7,824.09
  4. Step 4: Simplify right side
    25,358.37x = 297,641,436.00
  5. Step 5: Solve for x
    x = 297,641,436.00/25,358.37
  6. Step 6: Final answer
    x = 11,737.41

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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.