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Finding the Fourth Proportional to 14,125.96, 19,494.18 and 7,838.60

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Solution

The fourth proportional to 14,125.96, 19,494.18 and 7,838.60 is: 10,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.96 : 19,494.18 = 7,838.60 : x
  2. Step 2: Convert to fraction form
    14,125.96/19,494.18 = 7,838.60/x
  3. Step 3: Cross multiply
    14,125.96x = 19,494.18 × 7,838.60
  4. Step 4: Simplify right side
    14,125.96x = 152,807,079.35
  5. Step 5: Solve for x
    x = 152,807,079.35/14,125.96
  6. Step 6: Final answer
    x = 10,817.47

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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.