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Finding the Fourth Proportional to 17,206.75, 25,810.13 and 4,894.75

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Solution

The fourth proportional to 17,206.75, 25,810.13 and 4,894.75 is: 7,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.75 : 25,810.13 = 4,894.75 : x
  2. Step 2: Convert to fraction form
    17,206.75/25,810.13 = 4,894.75/x
  3. Step 3: Cross multiply
    17,206.75x = 25,810.13 × 4,894.75
  4. Step 4: Simplify right side
    17,206.75x = 126,334,133.82
  5. Step 5: Solve for x
    x = 126,334,133.82/17,206.75
  6. Step 6: Final answer
    x = 7,342.13

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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.