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Finding the Fourth Proportional to 17,143.17, 25,699.88 and 7,648.35

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Solution

The fourth proportional to 17,143.17, 25,699.88 and 7,648.35 is: 11,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.17 : 25,699.88 = 7,648.35 : x
  2. Step 2: Convert to fraction form
    17,143.17/25,699.88 = 7,648.35/x
  3. Step 3: Cross multiply
    17,143.17x = 25,699.88 × 7,648.35
  4. Step 4: Simplify right side
    17,143.17x = 196,561,696.32
  5. Step 5: Solve for x
    x = 196,561,696.32/17,143.17
  6. Step 6: Final answer
    x = 11,465.89

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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.