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Finding the Fourth Proportional to 14,865.07, 20,515.91 and 9,201.64

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Solution

The fourth proportional to 14,865.07, 20,515.91 and 9,201.64 is: 12,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.07 : 20,515.91 = 9,201.64 : x
  2. Step 2: Convert to fraction form
    14,865.07/20,515.91 = 9,201.64/x
  3. Step 3: Cross multiply
    14,865.07x = 20,515.91 × 9,201.64
  4. Step 4: Simplify right side
    14,865.07x = 188,780,018.09
  5. Step 5: Solve for x
    x = 188,780,018.09/14,865.07
  6. Step 6: Final answer
    x = 12,699.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.