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Finding the Fourth Proportional to 14,577.92, 20,117.10 and 8,204.88

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Solution

The fourth proportional to 14,577.92, 20,117.10 and 8,204.88 is: 11,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.92 : 20,117.10 = 8,204.88 : x
  2. Step 2: Convert to fraction form
    14,577.92/20,117.10 = 8,204.88/x
  3. Step 3: Cross multiply
    14,577.92x = 20,117.10 × 8,204.88
  4. Step 4: Simplify right side
    14,577.92x = 165,058,391.45
  5. Step 5: Solve for x
    x = 165,058,391.45/14,577.92
  6. Step 6: Final answer
    x = 11,322.49

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1.5x scale

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.