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Finding the Fourth Proportional to 13,810.90, 20,705.01 and 5,487.34

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Solution

The fourth proportional to 13,810.90, 20,705.01 and 5,487.34 is: 8,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.90 : 20,705.01 = 5,487.34 : x
  2. Step 2: Convert to fraction form
    13,810.90/20,705.01 = 5,487.34/x
  3. Step 3: Cross multiply
    13,810.90x = 20,705.01 × 5,487.34
  4. Step 4: Simplify right side
    13,810.90x = 113,615,429.57
  5. Step 5: Solve for x
    x = 113,615,429.57/13,810.90
  6. Step 6: Final answer
    x = 8,226.50

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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.