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Finding the Fourth Proportional to 22,969, 34,461.70 and 11,290.42

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Solution

The fourth proportional to 22,969, 34,461.70 and 11,290.42 is: 16,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969 : 34,461.70 = 11,290.42 : x
  2. Step 2: Convert to fraction form
    22,969/34,461.70 = 11,290.42/x
  3. Step 3: Cross multiply
    22,969x = 34,461.70 × 11,290.42
  4. Step 4: Simplify right side
    22,969x = 389,087,066.91
  5. Step 5: Solve for x
    x = 389,087,066.91/22,969
  6. Step 6: Final answer
    x = 16,939.66

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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.