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Finding the Fourth Proportional to 14,557.80, 21,836.70 and 7,631.40

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Solution

The fourth proportional to 14,557.80, 21,836.70 and 7,631.40 is: 11,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.80 : 21,836.70 = 7,631.40 : x
  2. Step 2: Convert to fraction form
    14,557.80/21,836.70 = 7,631.40/x
  3. Step 3: Cross multiply
    14,557.80x = 21,836.70 × 7,631.40
  4. Step 4: Simplify right side
    14,557.80x = 166,644,592.38
  5. Step 5: Solve for x
    x = 166,644,592.38/14,557.80
  6. Step 6: Final answer
    x = 11,447.10

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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.