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Finding the Fourth Proportional to 16,389.00, 24,583.64 and 5,295.69

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Solution

The fourth proportional to 16,389.00, 24,583.64 and 5,295.69 is: 7,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.00 : 24,583.64 = 5,295.69 : x
  2. Step 2: Convert to fraction form
    16,389.00/24,583.64 = 5,295.69/x
  3. Step 3: Cross multiply
    16,389.00x = 24,583.64 × 5,295.69
  4. Step 4: Simplify right side
    16,389.00x = 130,187,349.75
  5. Step 5: Solve for x
    x = 130,187,349.75/16,389.00
  6. Step 6: Final answer
    x = 7,943.58

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Why These Related Problems?

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