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Finding the Fourth Proportional to 25,827.46, 38,719.84 and 9,813.68

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Solution

The fourth proportional to 25,827.46, 38,719.84 and 9,813.68 is: 14,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.46 : 38,719.84 = 9,813.68 : x
  2. Step 2: Convert to fraction form
    25,827.46/38,719.84 = 9,813.68/x
  3. Step 3: Cross multiply
    25,827.46x = 38,719.84 × 9,813.68
  4. Step 4: Simplify right side
    25,827.46x = 379,984,057.91
  5. Step 5: Solve for x
    x = 379,984,057.91/25,827.46
  6. Step 6: Final answer
    x = 14,712.41

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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.