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Finding the Fourth Proportional to 14,600.13, 21,914.03 and 9,036.64

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Solution

The fourth proportional to 14,600.13, 21,914.03 and 9,036.64 is: 13,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.13 : 21,914.03 = 9,036.64 : x
  2. Step 2: Convert to fraction form
    14,600.13/21,914.03 = 9,036.64/x
  3. Step 3: Cross multiply
    14,600.13x = 21,914.03 × 9,036.64
  4. Step 4: Simplify right side
    14,600.13x = 198,029,200.06
  5. Step 5: Solve for x
    x = 198,029,200.06/14,600.13
  6. Step 6: Final answer
    x = 13,563.52

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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.