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Finding the Fourth Proportional to 14,140.86, 21,218.58 and 5,827.02

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Solution

The fourth proportional to 14,140.86, 21,218.58 and 5,827.02 is: 8,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.86 : 21,218.58 = 5,827.02 : x
  2. Step 2: Convert to fraction form
    14,140.86/21,218.58 = 5,827.02/x
  3. Step 3: Cross multiply
    14,140.86x = 21,218.58 × 5,827.02
  4. Step 4: Simplify right side
    14,140.86x = 123,641,090.03
  5. Step 5: Solve for x
    x = 123,641,090.03/14,140.86
  6. Step 6: Final answer
    x = 8,743.53

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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.