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Finding the Fourth Proportional to 14,912.74, 22,365.65 and 6,588.22

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Solution

The fourth proportional to 14,912.74, 22,365.65 and 6,588.22 is: 9,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.74 : 22,365.65 = 6,588.22 : x
  2. Step 2: Convert to fraction form
    14,912.74/22,365.65 = 6,588.22/x
  3. Step 3: Cross multiply
    14,912.74x = 22,365.65 × 6,588.22
  4. Step 4: Simplify right side
    14,912.74x = 147,349,825.14
  5. Step 5: Solve for x
    x = 147,349,825.14/14,912.74
  6. Step 6: Final answer
    x = 9,880.80

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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.