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Finding the Fourth Proportional to 16,774.75, 23,149.16 and 9,701.63

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Solution

The fourth proportional to 16,774.75, 23,149.16 and 9,701.63 is: 13,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.75 : 23,149.16 = 9,701.63 : x
  2. Step 2: Convert to fraction form
    16,774.75/23,149.16 = 9,701.63/x
  3. Step 3: Cross multiply
    16,774.75x = 23,149.16 × 9,701.63
  4. Step 4: Simplify right side
    16,774.75x = 224,584,478.75
  5. Step 5: Solve for x
    x = 224,584,478.75/16,774.75
  6. Step 6: Final answer
    x = 13,388.25

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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.