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Finding the Fourth Proportional to 14,159.15, 21,241.26 and 5,834.63

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Solution

The fourth proportional to 14,159.15, 21,241.26 and 5,834.63 is: 8,752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.15 : 21,241.26 = 5,834.63 : x
  2. Step 2: Convert to fraction form
    14,159.15/21,241.26 = 5,834.63/x
  3. Step 3: Cross multiply
    14,159.15x = 21,241.26 × 5,834.63
  4. Step 4: Simplify right side
    14,159.15x = 123,934,892.83
  5. Step 5: Solve for x
    x = 123,934,892.83/14,159.15
  6. Step 6: Final answer
    x = 8,752.99

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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.