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Finding the Fourth Proportional to 16,435.96, 22,681.17 and 9,266.20

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Solution

The fourth proportional to 16,435.96, 22,681.17 and 9,266.20 is: 12,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.96 : 22,681.17 = 9,266.20 : x
  2. Step 2: Convert to fraction form
    16,435.96/22,681.17 = 9,266.20/x
  3. Step 3: Cross multiply
    16,435.96x = 22,681.17 × 9,266.20
  4. Step 4: Simplify right side
    16,435.96x = 210,168,257.45
  5. Step 5: Solve for x
    x = 210,168,257.45/16,435.96
  6. Step 6: Final answer
    x = 12,787.10

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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.