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Finding the Fourth Proportional to 25,406.83, 38,112.21 and 7,636.10

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Solution

The fourth proportional to 25,406.83, 38,112.21 and 7,636.10 is: 11,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.83 : 38,112.21 = 7,636.10 : x
  2. Step 2: Convert to fraction form
    25,406.83/38,112.21 = 7,636.10/x
  3. Step 3: Cross multiply
    25,406.83x = 38,112.21 × 7,636.10
  4. Step 4: Simplify right side
    25,406.83x = 291,028,646.78
  5. Step 5: Solve for x
    x = 291,028,646.78/25,406.83
  6. Step 6: Final answer
    x = 11,454.74

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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.