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Finding the Fourth Proportional to 13,078.23, 18,058.14 and 8,044.77

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Solution

The fourth proportional to 13,078.23, 18,058.14 and 8,044.77 is: 11,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.23 : 18,058.14 = 8,044.77 : x
  2. Step 2: Convert to fraction form
    13,078.23/18,058.14 = 8,044.77/x
  3. Step 3: Cross multiply
    13,078.23x = 18,058.14 × 8,044.77
  4. Step 4: Simplify right side
    13,078.23x = 145,273,582.93
  5. Step 5: Solve for x
    x = 145,273,582.93/13,078.23
  6. Step 6: Final answer
    x = 11,108.05

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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.