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Finding the Fourth Proportional to 16,381.34, 22,609.90 and 10,411.86

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Solution

The fourth proportional to 16,381.34, 22,609.90 and 10,411.86 is: 14,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.34 : 22,609.90 = 10,411.86 : x
  2. Step 2: Convert to fraction form
    16,381.34/22,609.90 = 10,411.86/x
  3. Step 3: Cross multiply
    16,381.34x = 22,609.90 × 10,411.86
  4. Step 4: Simplify right side
    16,381.34x = 235,411,113.41
  5. Step 5: Solve for x
    x = 235,411,113.41/16,381.34
  6. Step 6: Final answer
    x = 14,370.69

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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.