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Finding the Fourth Proportional to 25,838.33, 38,762.01 and 9,197.96

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Solution

The fourth proportional to 25,838.33, 38,762.01 and 9,197.96 is: 13,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.33 : 38,762.01 = 9,197.96 : x
  2. Step 2: Convert to fraction form
    25,838.33/38,762.01 = 9,197.96/x
  3. Step 3: Cross multiply
    25,838.33x = 38,762.01 × 9,197.96
  4. Step 4: Simplify right side
    25,838.33x = 356,531,223.69
  5. Step 5: Solve for x
    x = 356,531,223.69/25,838.33
  6. Step 6: Final answer
    x = 13,798.54

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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.