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Finding the Fourth Proportional to 25,635.60, 38,458.94 and 7,866.24

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Solution

The fourth proportional to 25,635.60, 38,458.94 and 7,866.24 is: 11,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,635.60 : 38,458.94 = 7,866.24 : x
  2. Step 2: Convert to fraction form
    25,635.60/38,458.94 = 7,866.24/x
  3. Step 3: Cross multiply
    25,635.60x = 38,458.94 × 7,866.24
  4. Step 4: Simplify right side
    25,635.60x = 302,527,252.19
  5. Step 5: Solve for x
    x = 302,527,252.19/25,635.60
  6. Step 6: Final answer
    x = 11,801.06

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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.