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Finding the Fourth Proportional to 25,690.75, 38,536.93 and 6,970.73

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Solution

The fourth proportional to 25,690.75, 38,536.93 and 6,970.73 is: 10,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690.75 : 38,536.93 = 6,970.73 : x
  2. Step 2: Convert to fraction form
    25,690.75/38,536.93 = 6,970.73/x
  3. Step 3: Cross multiply
    25,690.75x = 38,536.93 × 6,970.73
  4. Step 4: Simplify right side
    25,690.75x = 268,630,534.06
  5. Step 5: Solve for x
    x = 268,630,534.06/25,690.75
  6. Step 6: Final answer
    x = 10,456.31

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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.