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Finding the Fourth Proportional to 16,210.71, 22,372.56 and 9,406.23

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Solution

The fourth proportional to 16,210.71, 22,372.56 and 9,406.23 is: 12,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.71 : 22,372.56 = 9,406.23 : x
  2. Step 2: Convert to fraction form
    16,210.71/22,372.56 = 9,406.23/x
  3. Step 3: Cross multiply
    16,210.71x = 22,372.56 × 9,406.23
  4. Step 4: Simplify right side
    16,210.71x = 210,441,445.05
  5. Step 5: Solve for x
    x = 210,441,445.05/16,210.71
  6. Step 6: Final answer
    x = 12,981.63

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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.