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Finding the Fourth Proportional to 16,411.10, 22,643.66 and 9,692.14

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Solution

The fourth proportional to 16,411.10, 22,643.66 and 9,692.14 is: 13,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.10 : 22,643.66 = 9,692.14 : x
  2. Step 2: Convert to fraction form
    16,411.10/22,643.66 = 9,692.14/x
  3. Step 3: Cross multiply
    16,411.10x = 22,643.66 × 9,692.14
  4. Step 4: Simplify right side
    16,411.10x = 219,465,522.83
  5. Step 5: Solve for x
    x = 219,465,522.83/16,411.10
  6. Step 6: Final answer
    x = 13,372.99

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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.