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Finding the Fourth Proportional to 15,243.64, 22,864.78 and 6,355.31

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Solution

The fourth proportional to 15,243.64, 22,864.78 and 6,355.31 is: 9,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.64 : 22,864.78 = 6,355.31 : x
  2. Step 2: Convert to fraction form
    15,243.64/22,864.78 = 6,355.31/x
  3. Step 3: Cross multiply
    15,243.64x = 22,864.78 × 6,355.31
  4. Step 4: Simplify right side
    15,243.64x = 145,312,749.09
  5. Step 5: Solve for x
    x = 145,312,749.09/15,243.64
  6. Step 6: Final answer
    x = 9,532.68

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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.