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Finding the Fourth Proportional to 24,695.91, 37,047.51 and 7,163.46

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Solution

The fourth proportional to 24,695.91, 37,047.51 and 7,163.46 is: 10,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.91 : 37,047.51 = 7,163.46 : x
  2. Step 2: Convert to fraction form
    24,695.91/37,047.51 = 7,163.46/x
  3. Step 3: Cross multiply
    24,695.91x = 37,047.51 × 7,163.46
  4. Step 4: Simplify right side
    24,695.91x = 265,388,355.98
  5. Step 5: Solve for x
    x = 265,388,355.98/24,695.91
  6. Step 6: Final answer
    x = 10,746.25

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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.