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Finding the Fourth Proportional to 14,564.06, 21,850.74 and 5,203.88

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Solution

The fourth proportional to 14,564.06, 21,850.74 and 5,203.88 is: 7,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.06 : 21,850.74 = 5,203.88 : x
  2. Step 2: Convert to fraction form
    14,564.06/21,850.74 = 5,203.88/x
  3. Step 3: Cross multiply
    14,564.06x = 21,850.74 × 5,203.88
  4. Step 4: Simplify right side
    14,564.06x = 113,708,628.87
  5. Step 5: Solve for x
    x = 113,708,628.87/14,564.06
  6. Step 6: Final answer
    x = 7,807.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.