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Finding the Fourth Proportional to 14,536.26, 21,807.62 and 5,302.26

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Solution

The fourth proportional to 14,536.26, 21,807.62 and 5,302.26 is: 7,954.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.26 : 21,807.62 = 5,302.26 : x
  2. Step 2: Convert to fraction form
    14,536.26/21,807.62 = 5,302.26/x
  3. Step 3: Cross multiply
    14,536.26x = 21,807.62 × 5,302.26
  4. Step 4: Simplify right side
    14,536.26x = 115,629,671.22
  5. Step 5: Solve for x
    x = 115,629,671.22/14,536.26
  6. Step 6: Final answer
    x = 7,954.57

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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.