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Finding the Fourth Proportional to 14,083.42, 19,435.04 and 7,710.59

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Solution

The fourth proportional to 14,083.42, 19,435.04 and 7,710.59 is: 10,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.42 : 19,435.04 = 7,710.59 : x
  2. Step 2: Convert to fraction form
    14,083.42/19,435.04 = 7,710.59/x
  3. Step 3: Cross multiply
    14,083.42x = 19,435.04 × 7,710.59
  4. Step 4: Simplify right side
    14,083.42x = 149,855,527.90
  5. Step 5: Solve for x
    x = 149,855,527.90/14,083.42
  6. Step 6: Final answer
    x = 10,640.57

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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.