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Finding the Fourth Proportional to 13,184.17, 18,194.11 and 7,134.40

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Solution

The fourth proportional to 13,184.17, 18,194.11 and 7,134.40 is: 9,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.17 : 18,194.11 = 7,134.40 : x
  2. Step 2: Convert to fraction form
    13,184.17/18,194.11 = 7,134.40/x
  3. Step 3: Cross multiply
    13,184.17x = 18,194.11 × 7,134.40
  4. Step 4: Simplify right side
    13,184.17x = 129,804,058.38
  5. Step 5: Solve for x
    x = 129,804,058.38/13,184.17
  6. Step 6: Final answer
    x = 9,845.45

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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.