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Finding the Fourth Proportional to 16,821.50, 23,212.88 and 9,267.46

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Solution

The fourth proportional to 16,821.50, 23,212.88 and 9,267.46 is: 12,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.50 : 23,212.88 = 9,267.46 : x
  2. Step 2: Convert to fraction form
    16,821.50/23,212.88 = 9,267.46/x
  3. Step 3: Cross multiply
    16,821.50x = 23,212.88 × 9,267.46
  4. Step 4: Simplify right side
    16,821.50x = 215,124,332.52
  5. Step 5: Solve for x
    x = 215,124,332.52/16,821.50
  6. Step 6: Final answer
    x = 12,788.66

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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.