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Finding the Fourth Proportional to 16,684.79, 23,023.44 and 9,969.08

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Solution

The fourth proportional to 16,684.79, 23,023.44 and 9,969.08 is: 13,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.79 : 23,023.44 = 9,969.08 : x
  2. Step 2: Convert to fraction form
    16,684.79/23,023.44 = 9,969.08/x
  3. Step 3: Cross multiply
    16,684.79x = 23,023.44 × 9,969.08
  4. Step 4: Simplify right side
    16,684.79x = 229,522,400.12
  5. Step 5: Solve for x
    x = 229,522,400.12/16,684.79
  6. Step 6: Final answer
    x = 13,756.39

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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.