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Finding the Fourth Proportional to 16,954.50, 23,398.86 and 9,880.47

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Solution

The fourth proportional to 16,954.50, 23,398.86 and 9,880.47 is: 13,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.50 : 23,398.86 = 9,880.47 : x
  2. Step 2: Convert to fraction form
    16,954.50/23,398.86 = 9,880.47/x
  3. Step 3: Cross multiply
    16,954.50x = 23,398.86 × 9,880.47
  4. Step 4: Simplify right side
    16,954.50x = 231,191,734.26
  5. Step 5: Solve for x
    x = 231,191,734.26/16,954.50
  6. Step 6: Final answer
    x = 13,636.01

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1.5x scale

Why These Related Problems?

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