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Finding the Fourth Proportional to 18,459.84, 27,697.50 and 7,932.16

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Solution

The fourth proportional to 18,459.84, 27,697.50 and 7,932.16 is: 11,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,459.84 : 27,697.50 = 7,932.16 : x
  2. Step 2: Convert to fraction form
    18,459.84/27,697.50 = 7,932.16/x
  3. Step 3: Cross multiply
    18,459.84x = 27,697.50 × 7,932.16
  4. Step 4: Simplify right side
    18,459.84x = 219,701,001.60
  5. Step 5: Solve for x
    x = 219,701,001.60/18,459.84
  6. Step 6: Final answer
    x = 11,901.57

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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.