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Finding the Fourth Proportional to 16,655.68, 22,984.86 and 9,203.68

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Solution

The fourth proportional to 16,655.68, 22,984.86 and 9,203.68 is: 12,701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.68 : 22,984.86 = 9,203.68 : x
  2. Step 2: Convert to fraction form
    16,655.68/22,984.86 = 9,203.68/x
  3. Step 3: Cross multiply
    16,655.68x = 22,984.86 × 9,203.68
  4. Step 4: Simplify right side
    16,655.68x = 211,545,296.28
  5. Step 5: Solve for x
    x = 211,545,296.28/16,655.68
  6. Step 6: Final answer
    x = 12,701.09

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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.