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Finding the Fourth Proportional to 17,922.77, 24,733.71 and 9,856.76

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Solution

The fourth proportional to 17,922.77, 24,733.71 and 9,856.76 is: 13,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.77 : 24,733.71 = 9,856.76 : x
  2. Step 2: Convert to fraction form
    17,922.77/24,733.71 = 9,856.76/x
  3. Step 3: Cross multiply
    17,922.77x = 24,733.71 × 9,856.76
  4. Step 4: Simplify right side
    17,922.77x = 243,794,243.38
  5. Step 5: Solve for x
    x = 243,794,243.38/17,922.77
  6. Step 6: Final answer
    x = 13,602.49

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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.