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Finding the Fourth Proportional to 16,213, 22,373.94 and 8,761

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Solution

The fourth proportional to 16,213, 22,373.94 and 8,761 is: 12,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213 : 22,373.94 = 8,761 : x
  2. Step 2: Convert to fraction form
    16,213/22,373.94 = 8,761/x
  3. Step 3: Cross multiply
    16,213x = 22,373.94 × 8,761
  4. Step 4: Simplify right side
    16,213x = 196,018,088.34
  5. Step 5: Solve for x
    x = 196,018,088.34/16,213
  6. Step 6: Final answer
    x = 12,090.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.