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Finding the Fourth Proportional to 38,702.14, 58,054.52 and 13,744.14

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Solution

The fourth proportional to 38,702.14, 58,054.52 and 13,744.14 is: 20,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.14 : 58,054.52 = 13,744.14 : x
  2. Step 2: Convert to fraction form
    38,702.14/58,054.52 = 13,744.14/x
  3. Step 3: Cross multiply
    38,702.14x = 58,054.52 × 13,744.14
  4. Step 4: Simplify right side
    38,702.14x = 797,909,450.51
  5. Step 5: Solve for x
    x = 797,909,450.51/38,702.14
  6. Step 6: Final answer
    x = 20,616.68

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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.