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Finding the Fourth Proportional to 25,126.25, 37,694.85 and 7,595.63

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Solution

The fourth proportional to 25,126.25, 37,694.85 and 7,595.63 is: 11,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,126.25 : 37,694.85 = 7,595.63 : x
  2. Step 2: Convert to fraction form
    25,126.25/37,694.85 = 7,595.63/x
  3. Step 3: Cross multiply
    25,126.25x = 37,694.85 × 7,595.63
  4. Step 4: Simplify right side
    25,126.25x = 286,315,916.55
  5. Step 5: Solve for x
    x = 286,315,916.55/25,126.25
  6. Step 6: Final answer
    x = 11,395.09

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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.