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Finding the Fourth Proportional to 16,507.84, 22,780.74 and 9,055.84

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Solution

The fourth proportional to 16,507.84, 22,780.74 and 9,055.84 is: 12,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.84 : 22,780.74 = 9,055.84 : x
  2. Step 2: Convert to fraction form
    16,507.84/22,780.74 = 9,055.84/x
  3. Step 3: Cross multiply
    16,507.84x = 22,780.74 × 9,055.84
  4. Step 4: Simplify right side
    16,507.84x = 206,298,736.52
  5. Step 5: Solve for x
    x = 206,298,736.52/16,507.84
  6. Step 6: Final answer
    x = 12,497.02

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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.