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Finding the Fourth Proportional to 17,117.74, 25,680.26 and 7,256.80

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Solution

The fourth proportional to 17,117.74, 25,680.26 and 7,256.80 is: 10,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.74 : 25,680.26 = 7,256.80 : x
  2. Step 2: Convert to fraction form
    17,117.74/25,680.26 = 7,256.80/x
  3. Step 3: Cross multiply
    17,117.74x = 25,680.26 × 7,256.80
  4. Step 4: Simplify right side
    17,117.74x = 186,356,510.77
  5. Step 5: Solve for x
    x = 186,356,510.77/17,117.74
  6. Step 6: Final answer
    x = 10,886.75

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