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Finding the Fourth Proportional to 18,614.32, 27,925.59 and 6,133.84

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Solution

The fourth proportional to 18,614.32, 27,925.59 and 6,133.84 is: 9,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.32 : 27,925.59 = 6,133.84 : x
  2. Step 2: Convert to fraction form
    18,614.32/27,925.59 = 6,133.84/x
  3. Step 3: Cross multiply
    18,614.32x = 27,925.59 × 6,133.84
  4. Step 4: Simplify right side
    18,614.32x = 171,290,961.34
  5. Step 5: Solve for x
    x = 171,290,961.34/18,614.32
  6. Step 6: Final answer
    x = 9,202.11

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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.