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Finding the Fourth Proportional to 13,203.81, 18,220.55 and 7,235.35

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Solution

The fourth proportional to 13,203.81, 18,220.55 and 7,235.35 is: 9,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.81 : 18,220.55 = 7,235.35 : x
  2. Step 2: Convert to fraction form
    13,203.81/18,220.55 = 7,235.35/x
  3. Step 3: Cross multiply
    13,203.81x = 18,220.55 × 7,235.35
  4. Step 4: Simplify right side
    13,203.81x = 131,831,974.71
  5. Step 5: Solve for x
    x = 131,831,974.71/13,203.81
  6. Step 6: Final answer
    x = 9,984.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.