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Finding the Fourth Proportional to 14,652.75, 21,977.07 and 5,291.48

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Solution

The fourth proportional to 14,652.75, 21,977.07 and 5,291.48 is: 7,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.75 : 21,977.07 = 5,291.48 : x
  2. Step 2: Convert to fraction form
    14,652.75/21,977.07 = 5,291.48/x
  3. Step 3: Cross multiply
    14,652.75x = 21,977.07 × 5,291.48
  4. Step 4: Simplify right side
    14,652.75x = 116,291,167.61
  5. Step 5: Solve for x
    x = 116,291,167.61/14,652.75
  6. Step 6: Final answer
    x = 7,936.47

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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.