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Finding the Fourth Proportional to 25,049.30, 37,574.55 and 8,409.87

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Solution

The fourth proportional to 25,049.30, 37,574.55 and 8,409.87 is: 12,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049.30 : 37,574.55 = 8,409.87 : x
  2. Step 2: Convert to fraction form
    25,049.30/37,574.55 = 8,409.87/x
  3. Step 3: Cross multiply
    25,049.30x = 37,574.55 × 8,409.87
  4. Step 4: Simplify right side
    25,049.30x = 315,997,080.81
  5. Step 5: Solve for x
    x = 315,997,080.81/25,049.30
  6. Step 6: Final answer
    x = 12,615.01

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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.