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Finding the Fourth Proportional to 21,206.50, 29,268.57 and 12,259.19

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Solution

The fourth proportional to 21,206.50, 29,268.57 and 12,259.19 is: 16,919.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.50 : 29,268.57 = 12,259.19 : x
  2. Step 2: Convert to fraction form
    21,206.50/29,268.57 = 12,259.19/x
  3. Step 3: Cross multiply
    21,206.50x = 29,268.57 × 12,259.19
  4. Step 4: Simplify right side
    21,206.50x = 358,808,963.00
  5. Step 5: Solve for x
    x = 358,808,963.00/21,206.50
  6. Step 6: Final answer
    x = 16,919.76

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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.