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Finding the Fourth Proportional to 18,442.61, 27,675 and 6,595.45

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Solution

The fourth proportional to 18,442.61, 27,675 and 6,595.45 is: 9,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.61 : 27,675 = 6,595.45 : x
  2. Step 2: Convert to fraction form
    18,442.61/27,675 = 6,595.45/x
  3. Step 3: Cross multiply
    18,442.61x = 27,675 × 6,595.45
  4. Step 4: Simplify right side
    18,442.61x = 182,529,009.56
  5. Step 5: Solve for x
    x = 182,529,009.56/18,442.61
  6. Step 6: Final answer
    x = 9,897.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.