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Finding the Fourth Proportional to 14,126.32, 19,494.42 and 7,838.68

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Solution

The fourth proportional to 14,126.32, 19,494.42 and 7,838.68 is: 10,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.32 : 19,494.42 = 7,838.68 : x
  2. Step 2: Convert to fraction form
    14,126.32/19,494.42 = 7,838.68/x
  3. Step 3: Cross multiply
    14,126.32x = 19,494.42 × 7,838.68
  4. Step 4: Simplify right side
    14,126.32x = 152,810,520.17
  5. Step 5: Solve for x
    x = 152,810,520.17/14,126.32
  6. Step 6: Final answer
    x = 10,817.43

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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.