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Finding the Fourth Proportional to 16,355.34, 24,533.16 and 6,989.50

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Solution

The fourth proportional to 16,355.34, 24,533.16 and 6,989.50 is: 10,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355.34 : 24,533.16 = 6,989.50 : x
  2. Step 2: Convert to fraction form
    16,355.34/24,533.16 = 6,989.50/x
  3. Step 3: Cross multiply
    16,355.34x = 24,533.16 × 6,989.50
  4. Step 4: Simplify right side
    16,355.34x = 171,474,521.82
  5. Step 5: Solve for x
    x = 171,474,521.82/16,355.34
  6. Step 6: Final answer
    x = 10,484.31

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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.