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Finding the Fourth Proportional to 16,339.50, 24,508.80 and 5,246.94

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Solution

The fourth proportional to 16,339.50, 24,508.80 and 5,246.94 is: 7,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.50 : 24,508.80 = 5,246.94 : x
  2. Step 2: Convert to fraction form
    16,339.50/24,508.80 = 5,246.94/x
  3. Step 3: Cross multiply
    16,339.50x = 24,508.80 × 5,246.94
  4. Step 4: Simplify right side
    16,339.50x = 128,596,203.07
  5. Step 5: Solve for x
    x = 128,596,203.07/16,339.50
  6. Step 6: Final answer
    x = 7,870.27

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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.