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Finding the Fourth Proportional to 15,593.46, 23,376.24 and 5,730.42

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Solution

The fourth proportional to 15,593.46, 23,376.24 and 5,730.42 is: 8,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,593.46 : 23,376.24 = 5,730.42 : x
  2. Step 2: Convert to fraction form
    15,593.46/23,376.24 = 5,730.42/x
  3. Step 3: Cross multiply
    15,593.46x = 23,376.24 × 5,730.42
  4. Step 4: Simplify right side
    15,593.46x = 133,955,673.22
  5. Step 5: Solve for x
    x = 133,955,673.22/15,593.46
  6. Step 6: Final answer
    x = 8,590.50

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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.