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Finding the Fourth Proportional to 16,509.81, 24,741.48 and 7,142.62

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Solution

The fourth proportional to 16,509.81, 24,741.48 and 7,142.62 is: 10,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.81 : 24,741.48 = 7,142.62 : x
  2. Step 2: Convert to fraction form
    16,509.81/24,741.48 = 7,142.62/x
  3. Step 3: Cross multiply
    16,509.81x = 24,741.48 × 7,142.62
  4. Step 4: Simplify right side
    16,509.81x = 176,718,989.88
  5. Step 5: Solve for x
    x = 176,718,989.88/16,509.81
  6. Step 6: Final answer
    x = 10,703.88

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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.