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Finding the Fourth Proportional to 23,776, 35,663.88 and 9,742.54

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Solution

The fourth proportional to 23,776, 35,663.88 and 9,742.54 is: 14,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 35,663.88 = 9,742.54 : x
  2. Step 2: Convert to fraction form
    23,776/35,663.88 = 9,742.54/x
  3. Step 3: Cross multiply
    23,776x = 35,663.88 × 9,742.54
  4. Step 4: Simplify right side
    23,776x = 347,456,777.46
  5. Step 5: Solve for x
    x = 347,456,777.46/23,776
  6. Step 6: Final answer
    x = 14,613.76

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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.