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Finding the Fourth Proportional to 16,651.86, 22,981.98 and 9,937.77

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Solution

The fourth proportional to 16,651.86, 22,981.98 and 9,937.77 is: 13,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.86 : 22,981.98 = 9,937.77 : x
  2. Step 2: Convert to fraction form
    16,651.86/22,981.98 = 9,937.77/x
  3. Step 3: Cross multiply
    16,651.86x = 22,981.98 × 9,937.77
  4. Step 4: Simplify right side
    16,651.86x = 228,389,631.38
  5. Step 5: Solve for x
    x = 228,389,631.38/16,651.86
  6. Step 6: Final answer
    x = 13,715.56

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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.