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Finding the Fourth Proportional to 14,027.93, 19,358.61 and 7,740.31

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Solution

The fourth proportional to 14,027.93, 19,358.61 and 7,740.31 is: 10,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.93 : 19,358.61 = 7,740.31 : x
  2. Step 2: Convert to fraction form
    14,027.93/19,358.61 = 7,740.31/x
  3. Step 3: Cross multiply
    14,027.93x = 19,358.61 × 7,740.31
  4. Step 4: Simplify right side
    14,027.93x = 149,841,545.78
  5. Step 5: Solve for x
    x = 149,841,545.78/14,027.93
  6. Step 6: Final answer
    x = 10,681.66

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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.