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Finding the Fourth Proportional to 18,646.56, 27,956.88 and 8,777.52

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Solution

The fourth proportional to 18,646.56, 27,956.88 and 8,777.52 is: 13,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.56 : 27,956.88 = 8,777.52 : x
  2. Step 2: Convert to fraction form
    18,646.56/27,956.88 = 8,777.52/x
  3. Step 3: Cross multiply
    18,646.56x = 27,956.88 × 8,777.52
  4. Step 4: Simplify right side
    18,646.56x = 245,392,073.34
  5. Step 5: Solve for x
    x = 245,392,073.34/18,646.56
  6. Step 6: Final answer
    x = 13,160.18

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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.