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Finding the Fourth Proportional to 17,021.76, 23,489.76 and 9,569.76

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Solution

The fourth proportional to 17,021.76, 23,489.76 and 9,569.76 is: 13,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,021.76 : 23,489.76 = 9,569.76 : x
  2. Step 2: Convert to fraction form
    17,021.76/23,489.76 = 9,569.76/x
  3. Step 3: Cross multiply
    17,021.76x = 23,489.76 × 9,569.76
  4. Step 4: Simplify right side
    17,021.76x = 224,791,365.66
  5. Step 5: Solve for x
    x = 224,791,365.66/17,021.76
  6. Step 6: Final answer
    x = 13,206.12

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1.5x scale

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.