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Finding the Fourth Proportional to 14,083.83, 19,434.63 and 7,709.01

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Solution

The fourth proportional to 14,083.83, 19,434.63 and 7,709.01 is: 10,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.83 : 19,434.63 = 7,709.01 : x
  2. Step 2: Convert to fraction form
    14,083.83/19,434.63 = 7,709.01/x
  3. Step 3: Cross multiply
    14,083.83x = 19,434.63 × 7,709.01
  4. Step 4: Simplify right side
    14,083.83x = 149,821,757.02
  5. Step 5: Solve for x
    x = 149,821,757.02/14,083.83
  6. Step 6: Final answer
    x = 10,637.86

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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.