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Finding the Fourth Proportional to 14,617.50, 21,917.49 and 7,106.27

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Solution

The fourth proportional to 14,617.50, 21,917.49 and 7,106.27 is: 10,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.50 : 21,917.49 = 7,106.27 : x
  2. Step 2: Convert to fraction form
    14,617.50/21,917.49 = 7,106.27/x
  3. Step 3: Cross multiply
    14,617.50x = 21,917.49 × 7,106.27
  4. Step 4: Simplify right side
    14,617.50x = 155,751,492.07
  5. Step 5: Solve for x
    x = 155,751,492.07/14,617.50
  6. Step 6: Final answer
    x = 10,655.14

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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.