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Finding the Fourth Proportional to 16,384.87, 24,580.95 and 5,289.49

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Solution

The fourth proportional to 16,384.87, 24,580.95 and 5,289.49 is: 7,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.87 : 24,580.95 = 5,289.49 : x
  2. Step 2: Convert to fraction form
    16,384.87/24,580.95 = 5,289.49/x
  3. Step 3: Cross multiply
    16,384.87x = 24,580.95 × 5,289.49
  4. Step 4: Simplify right side
    16,384.87x = 130,020,689.22
  5. Step 5: Solve for x
    x = 130,020,689.22/16,384.87
  6. Step 6: Final answer
    x = 7,935.41

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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.