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Finding the Fourth Proportional to 25,203.86, 37,794.86 and 7,669.64

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Solution

The fourth proportional to 25,203.86, 37,794.86 and 7,669.64 is: 11,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.86 : 37,794.86 = 7,669.64 : x
  2. Step 2: Convert to fraction form
    25,203.86/37,794.86 = 7,669.64/x
  3. Step 3: Cross multiply
    25,203.86x = 37,794.86 × 7,669.64
  4. Step 4: Simplify right side
    25,203.86x = 289,872,970.05
  5. Step 5: Solve for x
    x = 289,872,970.05/25,203.86
  6. Step 6: Final answer
    x = 11,501.13

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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.