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Finding the Fourth Proportional to 16,356.34, 24,534.66 and 6,990.50

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Solution

The fourth proportional to 16,356.34, 24,534.66 and 6,990.50 is: 10,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.34 : 24,534.66 = 6,990.50 : x
  2. Step 2: Convert to fraction form
    16,356.34/24,534.66 = 6,990.50/x
  3. Step 3: Cross multiply
    16,356.34x = 24,534.66 × 6,990.50
  4. Step 4: Simplify right side
    16,356.34x = 171,509,540.73
  5. Step 5: Solve for x
    x = 171,509,540.73/16,356.34
  6. Step 6: Final answer
    x = 10,485.81

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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.