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Finding the Fourth Proportional to 13,590.41, 20,388.72 and 4,825.31

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Solution

The fourth proportional to 13,590.41, 20,388.72 and 4,825.31 is: 7,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,590.41 : 20,388.72 = 4,825.31 : x
  2. Step 2: Convert to fraction form
    13,590.41/20,388.72 = 4,825.31/x
  3. Step 3: Cross multiply
    13,590.41x = 20,388.72 × 4,825.31
  4. Step 4: Simplify right side
    13,590.41x = 98,381,894.50
  5. Step 5: Solve for x
    x = 98,381,894.50/13,590.41
  6. Step 6: Final answer
    x = 7,239.07

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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.