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Finding the Fourth Proportional to 16,534.02, 22,815.78 and 9,364.66

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Solution

The fourth proportional to 16,534.02, 22,815.78 and 9,364.66 is: 12,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.02 : 22,815.78 = 9,364.66 : x
  2. Step 2: Convert to fraction form
    16,534.02/22,815.78 = 9,364.66/x
  3. Step 3: Cross multiply
    16,534.02x = 22,815.78 × 9,364.66
  4. Step 4: Simplify right side
    16,534.02x = 213,662,058.52
  5. Step 5: Solve for x
    x = 213,662,058.52/16,534.02
  6. Step 6: Final answer
    x = 12,922.57

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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.