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Finding the Fourth Proportional to 18,357.84, 27,538.38 and 6,667.92

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Solution

The fourth proportional to 18,357.84, 27,538.38 and 6,667.92 is: 10,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.84 : 27,538.38 = 6,667.92 : x
  2. Step 2: Convert to fraction form
    18,357.84/27,538.38 = 6,667.92/x
  3. Step 3: Cross multiply
    18,357.84x = 27,538.38 × 6,667.92
  4. Step 4: Simplify right side
    18,357.84x = 183,623,714.77
  5. Step 5: Solve for x
    x = 183,623,714.77/18,357.84
  6. Step 6: Final answer
    x = 10,002.47

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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.