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Finding the Fourth Proportional to 18,495.44, 27,746.80 and 6,014.66

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Solution

The fourth proportional to 18,495.44, 27,746.80 and 6,014.66 is: 9,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,495.44 : 27,746.80 = 6,014.66 : x
  2. Step 2: Convert to fraction form
    18,495.44/27,746.80 = 6,014.66/x
  3. Step 3: Cross multiply
    18,495.44x = 27,746.80 × 6,014.66
  4. Step 4: Simplify right side
    18,495.44x = 166,887,513.76
  5. Step 5: Solve for x
    x = 166,887,513.76/18,495.44
  6. Step 6: Final answer
    x = 9,023.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.