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Finding the Fourth Proportional to 13,599, 20,402.82 and 4,365

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Solution

The fourth proportional to 13,599, 20,402.82 and 4,365 is: 6,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599 : 20,402.82 = 4,365 : x
  2. Step 2: Convert to fraction form
    13,599/20,402.82 = 4,365/x
  3. Step 3: Cross multiply
    13,599x = 20,402.82 × 4,365
  4. Step 4: Simplify right side
    13,599x = 89,058,309.30
  5. Step 5: Solve for x
    x = 89,058,309.30/13,599
  6. Step 6: Final answer
    x = 6,548.89

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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.