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Finding the Fourth Proportional to 15,093.64, 22,631.64 and 4,560.52

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Solution

The fourth proportional to 15,093.64, 22,631.64 and 4,560.52 is: 6,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.64 : 22,631.64 = 4,560.52 : x
  2. Step 2: Convert to fraction form
    15,093.64/22,631.64 = 4,560.52/x
  3. Step 3: Cross multiply
    15,093.64x = 22,631.64 × 4,560.52
  4. Step 4: Simplify right side
    15,093.64x = 103,212,046.85
  5. Step 5: Solve for x
    x = 103,212,046.85/15,093.64
  6. Step 6: Final answer
    x = 6,838.12

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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.