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Finding the Fourth Proportional to 25,325.66, 37,965.27 and 9,731.54

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Solution

The fourth proportional to 25,325.66, 37,965.27 and 9,731.54 is: 14,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,325.66 : 37,965.27 = 9,731.54 : x
  2. Step 2: Convert to fraction form
    25,325.66/37,965.27 = 9,731.54/x
  3. Step 3: Cross multiply
    25,325.66x = 37,965.27 × 9,731.54
  4. Step 4: Simplify right side
    25,325.66x = 369,460,675.02
  5. Step 5: Solve for x
    x = 369,460,675.02/25,325.66
  6. Step 6: Final answer
    x = 14,588.39

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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.