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Finding the Fourth Proportional to 16,709.64, 23,048.24 and 10,748.84

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Solution

The fourth proportional to 16,709.64, 23,048.24 and 10,748.84 is: 14,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.64 : 23,048.24 = 10,748.84 : x
  2. Step 2: Convert to fraction form
    16,709.64/23,048.24 = 10,748.84/x
  3. Step 3: Cross multiply
    16,709.64x = 23,048.24 × 10,748.84
  4. Step 4: Simplify right side
    16,709.64x = 247,741,844.04
  5. Step 5: Solve for x
    x = 247,741,844.04/16,709.64
  6. Step 6: Final answer
    x = 14,826.28

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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.