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Finding the Fourth Proportional to 14,357.16, 21,531.54 and 5,589.99

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Solution

The fourth proportional to 14,357.16, 21,531.54 and 5,589.99 is: 8,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.16 : 21,531.54 = 5,589.99 : x
  2. Step 2: Convert to fraction form
    14,357.16/21,531.54 = 5,589.99/x
  3. Step 3: Cross multiply
    14,357.16x = 21,531.54 × 5,589.99
  4. Step 4: Simplify right side
    14,357.16x = 120,361,093.28
  5. Step 5: Solve for x
    x = 120,361,093.28/14,357.16
  6. Step 6: Final answer
    x = 8,383.35

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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.