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Finding the Fourth Proportional to 13,643.59, 18,827.60 and 7,593.66

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Solution

The fourth proportional to 13,643.59, 18,827.60 and 7,593.66 is: 10,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.59 : 18,827.60 = 7,593.66 : x
  2. Step 2: Convert to fraction form
    13,643.59/18,827.60 = 7,593.66/x
  3. Step 3: Cross multiply
    13,643.59x = 18,827.60 × 7,593.66
  4. Step 4: Simplify right side
    13,643.59x = 142,970,260.91
  5. Step 5: Solve for x
    x = 142,970,260.91/13,643.59
  6. Step 6: Final answer
    x = 10,478.94

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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.