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Finding the Fourth Proportional to 14,537.64, 21,802.14 and 5,304.36

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Solution

The fourth proportional to 14,537.64, 21,802.14 and 5,304.36 is: 7,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.64 : 21,802.14 = 5,304.36 : x
  2. Step 2: Convert to fraction form
    14,537.64/21,802.14 = 5,304.36/x
  3. Step 3: Cross multiply
    14,537.64x = 21,802.14 × 5,304.36
  4. Step 4: Simplify right side
    14,537.64x = 115,646,399.33
  5. Step 5: Solve for x
    x = 115,646,399.33/14,537.64
  6. Step 6: Final answer
    x = 7,954.96

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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.