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Finding the Fourth Proportional to 17,047.52, 25,574.76 and 7,186.80

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Solution

The fourth proportional to 17,047.52, 25,574.76 and 7,186.80 is: 10,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.52 : 25,574.76 = 7,186.80 : x
  2. Step 2: Convert to fraction form
    17,047.52/25,574.76 = 7,186.80/x
  3. Step 3: Cross multiply
    17,047.52x = 25,574.76 × 7,186.80
  4. Step 4: Simplify right side
    17,047.52x = 183,800,685.17
  5. Step 5: Solve for x
    x = 183,800,685.17/17,047.52
  6. Step 6: Final answer
    x = 10,781.67

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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.