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Finding the Fourth Proportional to 12,802.50, 19,203.74 and 4,038.09

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Solution

The fourth proportional to 12,802.50, 19,203.74 and 4,038.09 is: 6,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.50 : 19,203.74 = 4,038.09 : x
  2. Step 2: Convert to fraction form
    12,802.50/19,203.74 = 4,038.09/x
  3. Step 3: Cross multiply
    12,802.50x = 19,203.74 × 4,038.09
  4. Step 4: Simplify right side
    12,802.50x = 77,546,498.35
  5. Step 5: Solve for x
    x = 77,546,498.35/12,802.50
  6. Step 6: Final answer
    x = 6,057.14

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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.