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Finding the Fourth Proportional to 13,064.68, 18,019.38 and 9,083.80

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Solution

The fourth proportional to 13,064.68, 18,019.38 and 9,083.80 is: 12,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.68 : 18,019.38 = 9,083.80 : x
  2. Step 2: Convert to fraction form
    13,064.68/18,019.38 = 9,083.80/x
  3. Step 3: Cross multiply
    13,064.68x = 18,019.38 × 9,083.80
  4. Step 4: Simplify right side
    13,064.68x = 163,684,444.04
  5. Step 5: Solve for x
    x = 163,684,444.04/13,064.68
  6. Step 6: Final answer
    x = 12,528.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.