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Finding the Fourth Proportional to 16,354.68, 24,529.78 and 7,119.48

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Solution

The fourth proportional to 16,354.68, 24,529.78 and 7,119.48 is: 10,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.68 : 24,529.78 = 7,119.48 : x
  2. Step 2: Convert to fraction form
    16,354.68/24,529.78 = 7,119.48/x
  3. Step 3: Cross multiply
    16,354.68x = 24,529.78 × 7,119.48
  4. Step 4: Simplify right side
    16,354.68x = 174,639,278.11
  5. Step 5: Solve for x
    x = 174,639,278.11/16,354.68
  6. Step 6: Final answer
    x = 10,678.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.