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Finding the Fourth Proportional to 25,055.70, 37,574.08 and 8,184.75

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Solution

The fourth proportional to 25,055.70, 37,574.08 and 8,184.75 is: 12,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055.70 : 37,574.08 = 8,184.75 : x
  2. Step 2: Convert to fraction form
    25,055.70/37,574.08 = 8,184.75/x
  3. Step 3: Cross multiply
    25,055.70x = 37,574.08 × 8,184.75
  4. Step 4: Simplify right side
    25,055.70x = 307,534,451.28
  5. Step 5: Solve for x
    x = 307,534,451.28/25,055.70
  6. Step 6: Final answer
    x = 12,274.03

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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.