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Finding the Fourth Proportional to 15,755.13, 21,742.02 and 8,681.40

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Solution

The fourth proportional to 15,755.13, 21,742.02 and 8,681.40 is: 11,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.13 : 21,742.02 = 8,681.40 : x
  2. Step 2: Convert to fraction form
    15,755.13/21,742.02 = 8,681.40/x
  3. Step 3: Cross multiply
    15,755.13x = 21,742.02 × 8,681.40
  4. Step 4: Simplify right side
    15,755.13x = 188,751,172.43
  5. Step 5: Solve for x
    x = 188,751,172.43/15,755.13
  6. Step 6: Final answer
    x = 11,980.30

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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.