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Finding the Fourth Proportional to 14,557.57, 21,840.98 and 5,197.39

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Solution

The fourth proportional to 14,557.57, 21,840.98 and 5,197.39 is: 7,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.57 : 21,840.98 = 5,197.39 : x
  2. Step 2: Convert to fraction form
    14,557.57/21,840.98 = 5,197.39/x
  3. Step 3: Cross multiply
    14,557.57x = 21,840.98 × 5,197.39
  4. Step 4: Simplify right side
    14,557.57x = 113,516,010.45
  5. Step 5: Solve for x
    x = 113,516,010.45/14,557.57
  6. Step 6: Final answer
    x = 7,797.73

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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.