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Finding the Fourth Proportional to 14,051.82, 19,391.25 and 7,764.06

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Solution

The fourth proportional to 14,051.82, 19,391.25 and 7,764.06 is: 10,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.82 : 19,391.25 = 7,764.06 : x
  2. Step 2: Convert to fraction form
    14,051.82/19,391.25 = 7,764.06/x
  3. Step 3: Cross multiply
    14,051.82x = 19,391.25 × 7,764.06
  4. Step 4: Simplify right side
    14,051.82x = 150,554,828.48
  5. Step 5: Solve for x
    x = 150,554,828.48/14,051.82
  6. Step 6: Final answer
    x = 10,714.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.