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Finding the Fourth Proportional to 25,114.20, 37,647.33 and 8,465.64

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Solution

The fourth proportional to 25,114.20, 37,647.33 and 8,465.64 is: 12,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.20 : 37,647.33 = 8,465.64 : x
  2. Step 2: Convert to fraction form
    25,114.20/37,647.33 = 8,465.64/x
  3. Step 3: Cross multiply
    25,114.20x = 37,647.33 × 8,465.64
  4. Step 4: Simplify right side
    25,114.20x = 318,708,742.74
  5. Step 5: Solve for x
    x = 318,708,742.74/25,114.20
  6. Step 6: Final answer
    x = 12,690.38

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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.