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Finding the Fourth Proportional to 16,563.72, 22,856.55 and 9,756.66

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Solution

The fourth proportional to 16,563.72, 22,856.55 and 9,756.66 is: 13,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.72 : 22,856.55 = 9,756.66 : x
  2. Step 2: Convert to fraction form
    16,563.72/22,856.55 = 9,756.66/x
  3. Step 3: Cross multiply
    16,563.72x = 22,856.55 × 9,756.66
  4. Step 4: Simplify right side
    16,563.72x = 223,003,587.12
  5. Step 5: Solve for x
    x = 223,003,587.12/16,563.72
  6. Step 6: Final answer
    x = 13,463.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.