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Finding the Fourth Proportional to 16,002.79, 22,080.31 and 9,284.51

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Solution

The fourth proportional to 16,002.79, 22,080.31 and 9,284.51 is: 12,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.79 : 22,080.31 = 9,284.51 : x
  2. Step 2: Convert to fraction form
    16,002.79/22,080.31 = 9,284.51/x
  3. Step 3: Cross multiply
    16,002.79x = 22,080.31 × 9,284.51
  4. Step 4: Simplify right side
    16,002.79x = 205,004,890.99
  5. Step 5: Solve for x
    x = 205,004,890.99/16,002.79
  6. Step 6: Final answer
    x = 12,810.57

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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.