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Finding the Fourth Proportional to 12,585.25, 18,881.99 and 3,820.17

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Solution

The fourth proportional to 12,585.25, 18,881.99 and 3,820.17 is: 5,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.25 : 18,881.99 = 3,820.17 : x
  2. Step 2: Convert to fraction form
    12,585.25/18,881.99 = 3,820.17/x
  3. Step 3: Cross multiply
    12,585.25x = 18,881.99 × 3,820.17
  4. Step 4: Simplify right side
    12,585.25x = 72,132,411.74
  5. Step 5: Solve for x
    x = 72,132,411.74/12,585.25
  6. Step 6: Final answer
    x = 5,731.50

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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.