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Finding the Fourth Proportional to 14,126.40, 19,494.36 and 7,838.76

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Solution

The fourth proportional to 14,126.40, 19,494.36 and 7,838.76 is: 10,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.40 : 19,494.36 = 7,838.76 : x
  2. Step 2: Convert to fraction form
    14,126.40/19,494.36 = 7,838.76/x
  3. Step 3: Cross multiply
    14,126.40x = 19,494.36 × 7,838.76
  4. Step 4: Simplify right side
    14,126.40x = 152,811,609.39
  5. Step 5: Solve for x
    x = 152,811,609.39/14,126.40
  6. Step 6: Final answer
    x = 10,817.45

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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.