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Finding the Fourth Proportional to 16,007.76, 24,003.94 and 7,567.24

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Solution

The fourth proportional to 16,007.76, 24,003.94 and 7,567.24 is: 11,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.76 : 24,003.94 = 7,567.24 : x
  2. Step 2: Convert to fraction form
    16,007.76/24,003.94 = 7,567.24/x
  3. Step 3: Cross multiply
    16,007.76x = 24,003.94 × 7,567.24
  4. Step 4: Simplify right side
    16,007.76x = 181,643,574.93
  5. Step 5: Solve for x
    x = 181,643,574.93/16,007.76
  6. Step 6: Final answer
    x = 11,347.22

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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.