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Finding the Fourth Proportional to 17,653.92, 24,362.76 and 10,099.35

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Solution

The fourth proportional to 17,653.92, 24,362.76 and 10,099.35 is: 13,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.92 : 24,362.76 = 10,099.35 : x
  2. Step 2: Convert to fraction form
    17,653.92/24,362.76 = 10,099.35/x
  3. Step 3: Cross multiply
    17,653.92x = 24,362.76 × 10,099.35
  4. Step 4: Simplify right side
    17,653.92x = 246,048,040.21
  5. Step 5: Solve for x
    x = 246,048,040.21/17,653.92
  6. Step 6: Final answer
    x = 13,937.30

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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.