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Finding the Fourth Proportional to 13,539.35, 20,302.59 and 7,918.63

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Solution

The fourth proportional to 13,539.35, 20,302.59 and 7,918.63 is: 11,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.35 : 20,302.59 = 7,918.63 : x
  2. Step 2: Convert to fraction form
    13,539.35/20,302.59 = 7,918.63/x
  3. Step 3: Cross multiply
    13,539.35x = 20,302.59 × 7,918.63
  4. Step 4: Simplify right side
    13,539.35x = 160,768,647.50
  5. Step 5: Solve for x
    x = 160,768,647.50/13,539.35
  6. Step 6: Final answer
    x = 11,874.18

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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.