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Finding the Fourth Proportional to 13,796.46, 19,038.75 and 7,508.70

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Solution

The fourth proportional to 13,796.46, 19,038.75 and 7,508.70 is: 10,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.46 : 19,038.75 = 7,508.70 : x
  2. Step 2: Convert to fraction form
    13,796.46/19,038.75 = 7,508.70/x
  3. Step 3: Cross multiply
    13,796.46x = 19,038.75 × 7,508.70
  4. Step 4: Simplify right side
    13,796.46x = 142,956,262.13
  5. Step 5: Solve for x
    x = 142,956,262.13/13,796.46
  6. Step 6: Final answer
    x = 10,361.81

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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.