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Finding the Fourth Proportional to 21,499.01, 29,667 and 12,065.75

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Solution

The fourth proportional to 21,499.01, 29,667 and 12,065.75 is: 16,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.01 : 29,667 = 12,065.75 : x
  2. Step 2: Convert to fraction form
    21,499.01/29,667 = 12,065.75/x
  3. Step 3: Cross multiply
    21,499.01x = 29,667 × 12,065.75
  4. Step 4: Simplify right side
    21,499.01x = 357,954,605.25
  5. Step 5: Solve for x
    x = 357,954,605.25/21,499.01
  6. Step 6: Final answer
    x = 16,649.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.