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Finding the Fourth Proportional to 14,071.50, 21,092.04 and 9,144.66

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Solution

The fourth proportional to 14,071.50, 21,092.04 and 9,144.66 is: 13,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.50 : 21,092.04 = 9,144.66 : x
  2. Step 2: Convert to fraction form
    14,071.50/21,092.04 = 9,144.66/x
  3. Step 3: Cross multiply
    14,071.50x = 21,092.04 × 9,144.66
  4. Step 4: Simplify right side
    14,071.50x = 192,879,534.51
  5. Step 5: Solve for x
    x = 192,879,534.51/14,071.50
  6. Step 6: Final answer
    x = 13,707.11

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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.