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Finding the Fourth Proportional to 12,465.39, 18,686.54 and 6,541.05

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Solution

The fourth proportional to 12,465.39, 18,686.54 and 6,541.05 is: 9,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.39 : 18,686.54 = 6,541.05 : x
  2. Step 2: Convert to fraction form
    12,465.39/18,686.54 = 6,541.05/x
  3. Step 3: Cross multiply
    12,465.39x = 18,686.54 × 6,541.05
  4. Step 4: Simplify right side
    12,465.39x = 122,229,608.82
  5. Step 5: Solve for x
    x = 122,229,608.82/12,465.39
  6. Step 6: Final answer
    x = 9,805.52

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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.