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Finding the Fourth Proportional to 12,720.02, 17,538.38 and 8,242.14

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Solution

The fourth proportional to 12,720.02, 17,538.38 and 8,242.14 is: 11,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.02 : 17,538.38 = 8,242.14 : x
  2. Step 2: Convert to fraction form
    12,720.02/17,538.38 = 8,242.14/x
  3. Step 3: Cross multiply
    12,720.02x = 17,538.38 × 8,242.14
  4. Step 4: Simplify right side
    12,720.02x = 144,553,742.12
  5. Step 5: Solve for x
    x = 144,553,742.12/12,720.02
  6. Step 6: Final answer
    x = 11,364.27

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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.