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Finding the Fourth Proportional to 16,787.70, 25,178.22 and 5,098.14

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Solution

The fourth proportional to 16,787.70, 25,178.22 and 5,098.14 is: 7,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,787.70 : 25,178.22 = 5,098.14 : x
  2. Step 2: Convert to fraction form
    16,787.70/25,178.22 = 5,098.14/x
  3. Step 3: Cross multiply
    16,787.70x = 25,178.22 × 5,098.14
  4. Step 4: Simplify right side
    16,787.70x = 128,362,090.51
  5. Step 5: Solve for x
    x = 128,362,090.51/16,787.70
  6. Step 6: Final answer
    x = 7,646.20

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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.