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Finding the Fourth Proportional to 18,656.46, 27,985.92 and 7,562.91

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Solution

The fourth proportional to 18,656.46, 27,985.92 and 7,562.91 is: 11,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.46 : 27,985.92 = 7,562.91 : x
  2. Step 2: Convert to fraction form
    18,656.46/27,985.92 = 7,562.91/x
  3. Step 3: Cross multiply
    18,656.46x = 27,985.92 × 7,562.91
  4. Step 4: Simplify right side
    18,656.46x = 211,654,994.23
  5. Step 5: Solve for x
    x = 211,654,994.23/18,656.46
  6. Step 6: Final answer
    x = 11,344.86

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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.