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Finding the Fourth Proportional to 12,838.88, 19,259.01 and 4,074.50

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Solution

The fourth proportional to 12,838.88, 19,259.01 and 4,074.50 is: 6,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.88 : 19,259.01 = 4,074.50 : x
  2. Step 2: Convert to fraction form
    12,838.88/19,259.01 = 4,074.50/x
  3. Step 3: Cross multiply
    12,838.88x = 19,259.01 × 4,074.50
  4. Step 4: Simplify right side
    12,838.88x = 78,470,739.95
  5. Step 5: Solve for x
    x = 78,470,739.95/12,838.88
  6. Step 6: Final answer
    x = 6,111.96

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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.