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Finding the Fourth Proportional to 16,007.02, 24,007.79 and 6,141.22

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Solution

The fourth proportional to 16,007.02, 24,007.79 and 6,141.22 is: 9,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.02 : 24,007.79 = 6,141.22 : x
  2. Step 2: Convert to fraction form
    16,007.02/24,007.79 = 6,141.22/x
  3. Step 3: Cross multiply
    16,007.02x = 24,007.79 × 6,141.22
  4. Step 4: Simplify right side
    16,007.02x = 147,437,075.44
  5. Step 5: Solve for x
    x = 147,437,075.44/16,007.02
  6. Step 6: Final answer
    x = 9,210.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.