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Finding the Fourth Proportional to 12,802.75, 19,204.12 and 4,038.34

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Solution

The fourth proportional to 12,802.75, 19,204.12 and 4,038.34 is: 6,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.75 : 19,204.12 = 4,038.34 : x
  2. Step 2: Convert to fraction form
    12,802.75/19,204.12 = 4,038.34/x
  3. Step 3: Cross multiply
    12,802.75x = 19,204.12 × 4,038.34
  4. Step 4: Simplify right side
    12,802.75x = 77,552,765.96
  5. Step 5: Solve for x
    x = 77,552,765.96/12,802.75
  6. Step 6: Final answer
    x = 6,057.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.