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Finding the Fourth Proportional to 12,567.92, 18,852.75 and 3,803.49

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Solution

The fourth proportional to 12,567.92, 18,852.75 and 3,803.49 is: 5,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.92 : 18,852.75 = 3,803.49 : x
  2. Step 2: Convert to fraction form
    12,567.92/18,852.75 = 3,803.49/x
  3. Step 3: Cross multiply
    12,567.92x = 18,852.75 × 3,803.49
  4. Step 4: Simplify right side
    12,567.92x = 71,706,246.10
  5. Step 5: Solve for x
    x = 71,706,246.10/12,567.92
  6. Step 6: Final answer
    x = 5,705.50

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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.