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Finding the Fourth Proportional to 12,124.65, 18,181.50 and 3,802.71

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Solution

The fourth proportional to 12,124.65, 18,181.50 and 3,802.71 is: 5,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.65 : 18,181.50 = 3,802.71 : x
  2. Step 2: Convert to fraction form
    12,124.65/18,181.50 = 3,802.71/x
  3. Step 3: Cross multiply
    12,124.65x = 18,181.50 × 3,802.71
  4. Step 4: Simplify right side
    12,124.65x = 69,138,971.87
  5. Step 5: Solve for x
    x = 69,138,971.87/12,124.65
  6. Step 6: Final answer
    x = 5,702.35

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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.