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Finding the Fourth Proportional to 13,146.18, 18,141 and 7,176.66

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Solution

The fourth proportional to 13,146.18, 18,141 and 7,176.66 is: 9,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.18 : 18,141 = 7,176.66 : x
  2. Step 2: Convert to fraction form
    13,146.18/18,141 = 7,176.66/x
  3. Step 3: Cross multiply
    13,146.18x = 18,141 × 7,176.66
  4. Step 4: Simplify right side
    13,146.18x = 130,191,789.06
  5. Step 5: Solve for x
    x = 130,191,789.06/13,146.18
  6. Step 6: Final answer
    x = 9,903.39

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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.