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Finding the Fourth Proportional to 17,877.84, 26,814.43 and 4,731.22

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Solution

The fourth proportional to 17,877.84, 26,814.43 and 4,731.22 is: 7,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.84 : 26,814.43 = 4,731.22 : x
  2. Step 2: Convert to fraction form
    17,877.84/26,814.43 = 4,731.22/x
  3. Step 3: Cross multiply
    17,877.84x = 26,814.43 × 4,731.22
  4. Step 4: Simplify right side
    17,877.84x = 126,864,967.50
  5. Step 5: Solve for x
    x = 126,864,967.50/17,877.84
  6. Step 6: Final answer
    x = 7,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.