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Finding the Fourth Proportional to 14,405.77, 21,608.43 and 8,785.09

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Solution

The fourth proportional to 14,405.77, 21,608.43 and 8,785.09 is: 13,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.77 : 21,608.43 = 8,785.09 : x
  2. Step 2: Convert to fraction form
    14,405.77/21,608.43 = 8,785.09/x
  3. Step 3: Cross multiply
    14,405.77x = 21,608.43 × 8,785.09
  4. Step 4: Simplify right side
    14,405.77x = 189,831,981.23
  5. Step 5: Solve for x
    x = 189,831,981.23/14,405.77
  6. Step 6: Final answer
    x = 13,177.50

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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.