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Finding the Fourth Proportional to 24,815.50, 37,223.52 and 6,347.50

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Solution

The fourth proportional to 24,815.50, 37,223.52 and 6,347.50 is: 9,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.50 : 37,223.52 = 6,347.50 : x
  2. Step 2: Convert to fraction form
    24,815.50/37,223.52 = 6,347.50/x
  3. Step 3: Cross multiply
    24,815.50x = 37,223.52 × 6,347.50
  4. Step 4: Simplify right side
    24,815.50x = 236,276,293.20
  5. Step 5: Solve for x
    x = 236,276,293.20/24,815.50
  6. Step 6: Final answer
    x = 9,521.32

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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.