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Finding the Fourth Proportional to 16,492.14, 22,757.34 and 9,417.21

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Solution

The fourth proportional to 16,492.14, 22,757.34 and 9,417.21 is: 12,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.14 : 22,757.34 = 9,417.21 : x
  2. Step 2: Convert to fraction form
    16,492.14/22,757.34 = 9,417.21/x
  3. Step 3: Cross multiply
    16,492.14x = 22,757.34 × 9,417.21
  4. Step 4: Simplify right side
    16,492.14x = 214,310,649.82
  5. Step 5: Solve for x
    x = 214,310,649.82/16,492.14
  6. Step 6: Final answer
    x = 12,994.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.