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Finding the Fourth Proportional to 13,078.01, 18,046.89 and 7,109.63

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Solution

The fourth proportional to 13,078.01, 18,046.89 and 7,109.63 is: 9,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.01 : 18,046.89 = 7,109.63 : x
  2. Step 2: Convert to fraction form
    13,078.01/18,046.89 = 7,109.63/x
  3. Step 3: Cross multiply
    13,078.01x = 18,046.89 × 7,109.63
  4. Step 4: Simplify right side
    13,078.01x = 128,306,733.37
  5. Step 5: Solve for x
    x = 128,306,733.37/13,078.01
  6. Step 6: Final answer
    x = 9,810.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.