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Finding the Fourth Proportional to 14,657.94, 21,981.42 and 5,889.87

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Solution

The fourth proportional to 14,657.94, 21,981.42 and 5,889.87 is: 8,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.94 : 21,981.42 = 5,889.87 : x
  2. Step 2: Convert to fraction form
    14,657.94/21,981.42 = 5,889.87/x
  3. Step 3: Cross multiply
    14,657.94x = 21,981.42 × 5,889.87
  4. Step 4: Simplify right side
    14,657.94x = 129,467,706.22
  5. Step 5: Solve for x
    x = 129,467,706.22/14,657.94
  6. Step 6: Final answer
    x = 8,832.60

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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.