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Finding the Fourth Proportional to 13,437.60, 18,543.30 and 7,771.44

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Solution

The fourth proportional to 13,437.60, 18,543.30 and 7,771.44 is: 10,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.60 : 18,543.30 = 7,771.44 : x
  2. Step 2: Convert to fraction form
    13,437.60/18,543.30 = 7,771.44/x
  3. Step 3: Cross multiply
    13,437.60x = 18,543.30 × 7,771.44
  4. Step 4: Simplify right side
    13,437.60x = 144,108,143.35
  5. Step 5: Solve for x
    x = 144,108,143.35/13,437.60
  6. Step 6: Final answer
    x = 10,724.25

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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.