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Finding the Fourth Proportional to 17,546.48, 26,330.09 and 6,460.95

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Solution

The fourth proportional to 17,546.48, 26,330.09 and 6,460.95 is: 9,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.48 : 26,330.09 = 6,460.95 : x
  2. Step 2: Convert to fraction form
    17,546.48/26,330.09 = 6,460.95/x
  3. Step 3: Cross multiply
    17,546.48x = 26,330.09 × 6,460.95
  4. Step 4: Simplify right side
    17,546.48x = 170,117,394.99
  5. Step 5: Solve for x
    x = 170,117,394.99/17,546.48
  6. Step 6: Final answer
    x = 9,695.24

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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.