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Finding the Fourth Proportional to 14,463.57, 21,697.30 and 5,101.39

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Solution

The fourth proportional to 14,463.57, 21,697.30 and 5,101.39 is: 7,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.57 : 21,697.30 = 5,101.39 : x
  2. Step 2: Convert to fraction form
    14,463.57/21,697.30 = 5,101.39/x
  3. Step 3: Cross multiply
    14,463.57x = 21,697.30 × 5,101.39
  4. Step 4: Simplify right side
    14,463.57x = 110,686,422.75
  5. Step 5: Solve for x
    x = 110,686,422.75/14,463.57
  6. Step 6: Final answer
    x = 7,652.77

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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.