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Finding the Fourth Proportional to 26,427.50, 39,658.94 and 9,787.68

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Solution

The fourth proportional to 26,427.50, 39,658.94 and 9,787.68 is: 14,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427.50 : 39,658.94 = 9,787.68 : x
  2. Step 2: Convert to fraction form
    26,427.50/39,658.94 = 9,787.68/x
  3. Step 3: Cross multiply
    26,427.50x = 39,658.94 × 9,787.68
  4. Step 4: Simplify right side
    26,427.50x = 388,168,970.30
  5. Step 5: Solve for x
    x = 388,168,970.30/26,427.50
  6. Step 6: Final answer
    x = 14,688.07

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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.