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Finding the Fourth Proportional to 16,655.76, 22,977.72 and 10,983.24

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Solution

The fourth proportional to 16,655.76, 22,977.72 and 10,983.24 is: 15,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,655.76 : 22,977.72 = 10,983.24 : x
  2. Step 2: Convert to fraction form
    16,655.76/22,977.72 = 10,983.24/x
  3. Step 3: Cross multiply
    16,655.76x = 22,977.72 × 10,983.24
  4. Step 4: Simplify right side
    16,655.76x = 252,369,813.41
  5. Step 5: Solve for x
    x = 252,369,813.41/16,655.76
  6. Step 6: Final answer
    x = 15,152.10

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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.