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Finding the Fourth Proportional to 16,645.91, 22,971.26 and 9,931.82

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Solution

The fourth proportional to 16,645.91, 22,971.26 and 9,931.82 is: 13,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.91 : 22,971.26 = 9,931.82 : x
  2. Step 2: Convert to fraction form
    16,645.91/22,971.26 = 9,931.82/x
  3. Step 3: Cross multiply
    16,645.91x = 22,971.26 × 9,931.82
  4. Step 4: Simplify right side
    16,645.91x = 228,146,329.47
  5. Step 5: Solve for x
    x = 228,146,329.47/16,645.91
  6. Step 6: Final answer
    x = 13,705.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.