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Finding the Fourth Proportional to 14,001.09, 19,321.34 and 7,713.46

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Solution

The fourth proportional to 14,001.09, 19,321.34 and 7,713.46 is: 10,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001.09 : 19,321.34 = 7,713.46 : x
  2. Step 2: Convert to fraction form
    14,001.09/19,321.34 = 7,713.46/x
  3. Step 3: Cross multiply
    14,001.09x = 19,321.34 × 7,713.46
  4. Step 4: Simplify right side
    14,001.09x = 149,034,368.82
  5. Step 5: Solve for x
    x = 149,034,368.82/14,001.09
  6. Step 6: Final answer
    x = 10,644.49

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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.