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Finding the Fourth Proportional to 16,001.66, 22,078.76 and 9,283.40

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Solution

The fourth proportional to 16,001.66, 22,078.76 and 9,283.40 is: 12,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.66 : 22,078.76 = 9,283.40 : x
  2. Step 2: Convert to fraction form
    16,001.66/22,078.76 = 9,283.40/x
  3. Step 3: Cross multiply
    16,001.66x = 22,078.76 × 9,283.40
  4. Step 4: Simplify right side
    16,001.66x = 204,965,803.77
  5. Step 5: Solve for x
    x = 204,965,803.77/16,001.66
  6. Step 6: Final answer
    x = 12,809.03

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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.