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Finding the Fourth Proportional to 14,275, 21,412.77 and 3,887.02

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Solution

The fourth proportional to 14,275, 21,412.77 and 3,887.02 is: 5,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275 : 21,412.77 = 3,887.02 : x
  2. Step 2: Convert to fraction form
    14,275/21,412.77 = 3,887.02/x
  3. Step 3: Cross multiply
    14,275x = 21,412.77 × 3,887.02
  4. Step 4: Simplify right side
    14,275x = 83,231,865.25
  5. Step 5: Solve for x
    x = 83,231,865.25/14,275
  6. Step 6: Final answer
    x = 5,830.60

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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.