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Finding the Fourth Proportional to 16,126.54, 24,189.59 and 7,807.29

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Solution

The fourth proportional to 16,126.54, 24,189.59 and 7,807.29 is: 11,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.54 : 24,189.59 = 7,807.29 : x
  2. Step 2: Convert to fraction form
    16,126.54/24,189.59 = 7,807.29/x
  3. Step 3: Cross multiply
    16,126.54x = 24,189.59 × 7,807.29
  4. Step 4: Simplify right side
    16,126.54x = 188,855,029.00
  5. Step 5: Solve for x
    x = 188,855,029.00/16,126.54
  6. Step 6: Final answer
    x = 11,710.82

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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.