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Finding the Fourth Proportional to 16,058.22, 24,089.64 and 4,965.88

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Solution

The fourth proportional to 16,058.22, 24,089.64 and 4,965.88 is: 7,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.22 : 24,089.64 = 4,965.88 : x
  2. Step 2: Convert to fraction form
    16,058.22/24,089.64 = 4,965.88/x
  3. Step 3: Cross multiply
    16,058.22x = 24,089.64 × 4,965.88
  4. Step 4: Simplify right side
    16,058.22x = 119,626,261.48
  5. Step 5: Solve for x
    x = 119,626,261.48/16,058.22
  6. Step 6: Final answer
    x = 7,449.53

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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.