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Finding the Fourth Proportional to 16,507.54, 22,780.20 and 8,953.75

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Solution

The fourth proportional to 16,507.54, 22,780.20 and 8,953.75 is: 12,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.54 : 22,780.20 = 8,953.75 : x
  2. Step 2: Convert to fraction form
    16,507.54/22,780.20 = 8,953.75/x
  3. Step 3: Cross multiply
    16,507.54x = 22,780.20 × 8,953.75
  4. Step 4: Simplify right side
    16,507.54x = 203,968,215.75
  5. Step 5: Solve for x
    x = 203,968,215.75/16,507.54
  6. Step 6: Final answer
    x = 12,356.06

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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.