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Finding the Fourth Proportional to 16,717.78, 23,070.59 and 9,648.30

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Solution

The fourth proportional to 16,717.78, 23,070.59 and 9,648.30 is: 13,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.78 : 23,070.59 = 9,648.30 : x
  2. Step 2: Convert to fraction form
    16,717.78/23,070.59 = 9,648.30/x
  3. Step 3: Cross multiply
    16,717.78x = 23,070.59 × 9,648.30
  4. Step 4: Simplify right side
    16,717.78x = 222,591,973.50
  5. Step 5: Solve for x
    x = 222,591,973.50/16,717.78
  6. Step 6: Final answer
    x = 13,314.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.