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Finding the Fourth Proportional to 16,655.47, 22,984.61 and 9,101.81

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Solution

The fourth proportional to 16,655.47, 22,984.61 and 9,101.81 is: 12,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.47 : 22,984.61 = 9,101.81 : x
  2. Step 2: Convert to fraction form
    16,655.47/22,984.61 = 9,101.81/x
  3. Step 3: Cross multiply
    16,655.47x = 22,984.61 × 9,101.81
  4. Step 4: Simplify right side
    16,655.47x = 209,201,438.22
  5. Step 5: Solve for x
    x = 209,201,438.22/16,655.47
  6. Step 6: Final answer
    x = 12,560.52

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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.