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Finding the Fourth Proportional to 16,604.68, 22,917.86 and 9,894.24

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Solution

The fourth proportional to 16,604.68, 22,917.86 and 9,894.24 is: 13,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,604.68 : 22,917.86 = 9,894.24 : x
  2. Step 2: Convert to fraction form
    16,604.68/22,917.86 = 9,894.24/x
  3. Step 3: Cross multiply
    16,604.68x = 22,917.86 × 9,894.24
  4. Step 4: Simplify right side
    16,604.68x = 226,754,807.13
  5. Step 5: Solve for x
    x = 226,754,807.13/16,604.68
  6. Step 6: Final answer
    x = 13,656.08

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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.