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Finding the Fourth Proportional to 14,777.52, 20,384.91 and 9,466.35

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Solution

The fourth proportional to 14,777.52, 20,384.91 and 9,466.35 is: 13,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.52 : 20,384.91 = 9,466.35 : x
  2. Step 2: Convert to fraction form
    14,777.52/20,384.91 = 9,466.35/x
  3. Step 3: Cross multiply
    14,777.52x = 20,384.91 × 9,466.35
  4. Step 4: Simplify right side
    14,777.52x = 192,970,692.78
  5. Step 5: Solve for x
    x = 192,970,692.78/14,777.52
  6. Step 6: Final answer
    x = 13,058.39

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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.