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Finding the Fourth Proportional to 24,483.81, 36,702.42 and 7,833.11

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Solution

The fourth proportional to 24,483.81, 36,702.42 and 7,833.11 is: 11,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.81 : 36,702.42 = 7,833.11 : x
  2. Step 2: Convert to fraction form
    24,483.81/36,702.42 = 7,833.11/x
  3. Step 3: Cross multiply
    24,483.81x = 36,702.42 × 7,833.11
  4. Step 4: Simplify right side
    24,483.81x = 287,493,880.24
  5. Step 5: Solve for x
    x = 287,493,880.24/24,483.81
  6. Step 6: Final answer
    x = 11,742.21

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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.