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Finding the Fourth Proportional to 14,300.64, 21,406.08 and 9,832.23

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Solution

The fourth proportional to 14,300.64, 21,406.08 and 9,832.23 is: 14,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.64 : 21,406.08 = 9,832.23 : x
  2. Step 2: Convert to fraction form
    14,300.64/21,406.08 = 9,832.23/x
  3. Step 3: Cross multiply
    14,300.64x = 21,406.08 × 9,832.23
  4. Step 4: Simplify right side
    14,300.64x = 210,469,501.96
  5. Step 5: Solve for x
    x = 210,469,501.96/14,300.64
  6. Step 6: Final answer
    x = 14,717.49

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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.