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Finding the Fourth Proportional to 18,384.76, 27,569.04 and 5,234.14

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Solution

The fourth proportional to 18,384.76, 27,569.04 and 5,234.14 is: 7,848.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.76 : 27,569.04 = 5,234.14 : x
  2. Step 2: Convert to fraction form
    18,384.76/27,569.04 = 5,234.14/x
  3. Step 3: Cross multiply
    18,384.76x = 27,569.04 × 5,234.14
  4. Step 4: Simplify right side
    18,384.76x = 144,300,215.03
  5. Step 5: Solve for x
    x = 144,300,215.03/18,384.76
  6. Step 6: Final answer
    x = 7,848.90

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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.