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Finding the Fourth Proportional to 18,283.87, 27,428.06 and 6,434.85

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Solution

The fourth proportional to 18,283.87, 27,428.06 and 6,434.85 is: 9,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.87 : 27,428.06 = 6,434.85 : x
  2. Step 2: Convert to fraction form
    18,283.87/27,428.06 = 6,434.85/x
  3. Step 3: Cross multiply
    18,283.87x = 27,428.06 × 6,434.85
  4. Step 4: Simplify right side
    18,283.87x = 176,495,451.89
  5. Step 5: Solve for x
    x = 176,495,451.89/18,283.87
  6. Step 6: Final answer
    x = 9,653.07

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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.