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Finding the Fourth Proportional to 14,665.32, 21,981.24 and 5,894.64

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Solution

The fourth proportional to 14,665.32, 21,981.24 and 5,894.64 is: 8,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.32 : 21,981.24 = 5,894.64 : x
  2. Step 2: Convert to fraction form
    14,665.32/21,981.24 = 5,894.64/x
  3. Step 3: Cross multiply
    14,665.32x = 21,981.24 × 5,894.64
  4. Step 4: Simplify right side
    14,665.32x = 129,571,496.55
  5. Step 5: Solve for x
    x = 129,571,496.55/14,665.32
  6. Step 6: Final answer
    x = 8,835.23

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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.