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Finding the Fourth Proportional to 25,688.46, 38,494.80 and 11,652.78

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Solution

The fourth proportional to 25,688.46, 38,494.80 and 11,652.78 is: 17,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.46 : 38,494.80 = 11,652.78 : x
  2. Step 2: Convert to fraction form
    25,688.46/38,494.80 = 11,652.78/x
  3. Step 3: Cross multiply
    25,688.46x = 38,494.80 × 11,652.78
  4. Step 4: Simplify right side
    25,688.46x = 448,571,435.54
  5. Step 5: Solve for x
    x = 448,571,435.54/25,688.46
  6. Step 6: Final answer
    x = 17,461.98

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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.