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Finding the Fourth Proportional to 16,713.86, 23,059.47 and 9,640.10

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Solution

The fourth proportional to 16,713.86, 23,059.47 and 9,640.10 is: 13,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.86 : 23,059.47 = 9,640.10 : x
  2. Step 2: Convert to fraction form
    16,713.86/23,059.47 = 9,640.10/x
  3. Step 3: Cross multiply
    16,713.86x = 23,059.47 × 9,640.10
  4. Step 4: Simplify right side
    16,713.86x = 222,295,596.75
  5. Step 5: Solve for x
    x = 222,295,596.75/16,713.86
  6. Step 6: Final answer
    x = 13,300.08

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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.