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Finding the Fourth Proportional to 24,749.92, 37,133.16 and 16,462.64

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Solution

The fourth proportional to 24,749.92, 37,133.16 and 16,462.64 is: 24,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.92 : 37,133.16 = 16,462.64 : x
  2. Step 2: Convert to fraction form
    24,749.92/37,133.16 = 16,462.64/x
  3. Step 3: Cross multiply
    24,749.92x = 37,133.16 × 16,462.64
  4. Step 4: Simplify right side
    24,749.92x = 611,309,845.14
  5. Step 5: Solve for x
    x = 611,309,845.14/24,749.92
  6. Step 6: Final answer
    x = 24,699.47

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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.