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Finding the Fourth Proportional to 14,027.81, 19,358.42 and 7,740.18

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Solution

The fourth proportional to 14,027.81, 19,358.42 and 7,740.18 is: 10,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.81 : 19,358.42 = 7,740.18 : x
  2. Step 2: Convert to fraction form
    14,027.81/19,358.42 = 7,740.18/x
  3. Step 3: Cross multiply
    14,027.81x = 19,358.42 × 7,740.18
  4. Step 4: Simplify right side
    14,027.81x = 149,837,616.61
  5. Step 5: Solve for x
    x = 149,837,616.61/14,027.81
  6. Step 6: Final answer
    x = 10,681.47

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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.