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Finding the Fourth Proportional to 12,565.39, 18,832.51 and 7,022.63

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Solution

The fourth proportional to 12,565.39, 18,832.51 and 7,022.63 is: 10,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.39 : 18,832.51 = 7,022.63 : x
  2. Step 2: Convert to fraction form
    12,565.39/18,832.51 = 7,022.63/x
  3. Step 3: Cross multiply
    12,565.39x = 18,832.51 × 7,022.63
  4. Step 4: Simplify right side
    12,565.39x = 132,253,637.98
  5. Step 5: Solve for x
    x = 132,253,637.98/12,565.39
  6. Step 6: Final answer
    x = 10,525.23

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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.