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Finding the Fourth Proportional to 12,802.50, 19,201.86 and 4,039.56

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Solution

The fourth proportional to 12,802.50, 19,201.86 and 4,039.56 is: 6,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.50 : 19,201.86 = 4,039.56 : x
  2. Step 2: Convert to fraction form
    12,802.50/19,201.86 = 4,039.56/x
  3. Step 3: Cross multiply
    12,802.50x = 19,201.86 × 4,039.56
  4. Step 4: Simplify right side
    12,802.50x = 77,567,065.58
  5. Step 5: Solve for x
    x = 77,567,065.58/12,802.50
  6. Step 6: Final answer
    x = 6,058.74

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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.