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Finding the Fourth Proportional to 22,572.72, 33,849.36 and 8,712

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Solution

The fourth proportional to 22,572.72, 33,849.36 and 8,712 is: 13,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.72 : 33,849.36 = 8,712 : x
  2. Step 2: Convert to fraction form
    22,572.72/33,849.36 = 8,712/x
  3. Step 3: Cross multiply
    22,572.72x = 33,849.36 × 8,712
  4. Step 4: Simplify right side
    22,572.72x = 294,895,624.32
  5. Step 5: Solve for x
    x = 294,895,624.32/22,572.72
  6. Step 6: Final answer
    x = 13,064.25

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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.