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Finding the Fourth Proportional to 13,026.82, 19,543.44 and 3,666.82

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Solution

The fourth proportional to 13,026.82, 19,543.44 and 3,666.82 is: 5,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.82 : 19,543.44 = 3,666.82 : x
  2. Step 2: Convert to fraction form
    13,026.82/19,543.44 = 3,666.82/x
  3. Step 3: Cross multiply
    13,026.82x = 19,543.44 × 3,666.82
  4. Step 4: Simplify right side
    13,026.82x = 71,662,276.66
  5. Step 5: Solve for x
    x = 71,662,276.66/13,026.82
  6. Step 6: Final answer
    x = 5,501.13

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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.