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Finding the Fourth Proportional to 38,707.94, 58,044.62 and 13,409.80

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Solution

The fourth proportional to 38,707.94, 58,044.62 and 13,409.80 is: 20,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707.94 : 58,044.62 = 13,409.80 : x
  2. Step 2: Convert to fraction form
    38,707.94/58,044.62 = 13,409.80/x
  3. Step 3: Cross multiply
    38,707.94x = 58,044.62 × 13,409.80
  4. Step 4: Simplify right side
    38,707.94x = 778,366,745.28
  5. Step 5: Solve for x
    x = 778,366,745.28/38,707.94
  6. Step 6: Final answer
    x = 20,108.71

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