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Finding the Fourth Proportional to 12,838.42, 19,259.25 and 4,070.20

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Solution

The fourth proportional to 12,838.42, 19,259.25 and 4,070.20 is: 6,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.42 : 19,259.25 = 4,070.20 : x
  2. Step 2: Convert to fraction form
    12,838.42/19,259.25 = 4,070.20/x
  3. Step 3: Cross multiply
    12,838.42x = 19,259.25 × 4,070.20
  4. Step 4: Simplify right side
    12,838.42x = 78,388,999.35
  5. Step 5: Solve for x
    x = 78,388,999.35/12,838.42
  6. Step 6: Final answer
    x = 6,105.81

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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.