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Finding the Fourth Proportional to 16,339.70, 24,510.48 and 4,652

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Solution

The fourth proportional to 16,339.70, 24,510.48 and 4,652 is: 6,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.70 : 24,510.48 = 4,652 : x
  2. Step 2: Convert to fraction form
    16,339.70/24,510.48 = 4,652/x
  3. Step 3: Cross multiply
    16,339.70x = 24,510.48 × 4,652
  4. Step 4: Simplify right side
    16,339.70x = 114,022,752.96
  5. Step 5: Solve for x
    x = 114,022,752.96/16,339.70
  6. Step 6: Final answer
    x = 6,978.26

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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.