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Finding the Fourth Proportional to 14,587.23, 21,891.48 and 5,824.65

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Solution

The fourth proportional to 14,587.23, 21,891.48 and 5,824.65 is: 8,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.23 : 21,891.48 = 5,824.65 : x
  2. Step 2: Convert to fraction form
    14,587.23/21,891.48 = 5,824.65/x
  3. Step 3: Cross multiply
    14,587.23x = 21,891.48 × 5,824.65
  4. Step 4: Simplify right side
    14,587.23x = 127,510,208.98
  5. Step 5: Solve for x
    x = 127,510,208.98/14,587.23
  6. Step 6: Final answer
    x = 8,741.22

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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.