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Finding the Fourth Proportional to 15,056, 22,584.16 and 5,197.76

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Solution

The fourth proportional to 15,056, 22,584.16 and 5,197.76 is: 7,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056 : 22,584.16 = 5,197.76 : x
  2. Step 2: Convert to fraction form
    15,056/22,584.16 = 5,197.76/x
  3. Step 3: Cross multiply
    15,056x = 22,584.16 × 5,197.76
  4. Step 4: Simplify right side
    15,056x = 117,387,043.48
  5. Step 5: Solve for x
    x = 117,387,043.48/15,056
  6. Step 6: Final answer
    x = 7,796.70

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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.