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Finding the Fourth Proportional to 13,162.76, 19,747.32 and 4,398.32

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Solution

The fourth proportional to 13,162.76, 19,747.32 and 4,398.32 is: 6,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.76 : 19,747.32 = 4,398.32 : x
  2. Step 2: Convert to fraction form
    13,162.76/19,747.32 = 4,398.32/x
  3. Step 3: Cross multiply
    13,162.76x = 19,747.32 × 4,398.32
  4. Step 4: Simplify right side
    13,162.76x = 86,855,032.50
  5. Step 5: Solve for x
    x = 86,855,032.50/13,162.76
  6. Step 6: Final answer
    x = 6,598.54

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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.