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Finding the Fourth Proportional to 16,431.45, 22,677.75 and 9,358.53

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Solution

The fourth proportional to 16,431.45, 22,677.75 and 9,358.53 is: 12,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.45 : 22,677.75 = 9,358.53 : x
  2. Step 2: Convert to fraction form
    16,431.45/22,677.75 = 9,358.53/x
  3. Step 3: Cross multiply
    16,431.45x = 22,677.75 × 9,358.53
  4. Step 4: Simplify right side
    16,431.45x = 212,230,403.71
  5. Step 5: Solve for x
    x = 212,230,403.71/16,431.45
  6. Step 6: Final answer
    x = 12,916.11

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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.