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Finding the Fourth Proportional to 16,827.90, 25,214.07 and 10,234.14

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Solution

The fourth proportional to 16,827.90, 25,214.07 and 10,234.14 is: 15,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.90 : 25,214.07 = 10,234.14 : x
  2. Step 2: Convert to fraction form
    16,827.90/25,214.07 = 10,234.14/x
  3. Step 3: Cross multiply
    16,827.90x = 25,214.07 × 10,234.14
  4. Step 4: Simplify right side
    16,827.90x = 258,044,322.35
  5. Step 5: Solve for x
    x = 258,044,322.35/16,827.90
  6. Step 6: Final answer
    x = 15,334.32

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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.