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Finding the Fourth Proportional to 17,023.42, 25,526.49 and 7,781.50

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Solution

The fourth proportional to 17,023.42, 25,526.49 and 7,781.50 is: 11,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.42 : 25,526.49 = 7,781.50 : x
  2. Step 2: Convert to fraction form
    17,023.42/25,526.49 = 7,781.50/x
  3. Step 3: Cross multiply
    17,023.42x = 25,526.49 × 7,781.50
  4. Step 4: Simplify right side
    17,023.42x = 198,634,381.94
  5. Step 5: Solve for x
    x = 198,634,381.94/17,023.42
  6. Step 6: Final answer
    x = 11,668.30

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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.