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Finding the Fourth Proportional to 25,347, 38,025.60 and 7,816.08

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Solution

The fourth proportional to 25,347, 38,025.60 and 7,816.08 is: 11,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,347 : 38,025.60 = 7,816.08 : x
  2. Step 2: Convert to fraction form
    25,347/38,025.60 = 7,816.08/x
  3. Step 3: Cross multiply
    25,347x = 38,025.60 × 7,816.08
  4. Step 4: Simplify right side
    25,347x = 297,211,131.65
  5. Step 5: Solve for x
    x = 297,211,131.65/25,347
  6. Step 6: Final answer
    x = 11,725.69

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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.