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Finding the Fourth Proportional to 13,795.75, 19,038.14 and 7,508.17

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Solution

The fourth proportional to 13,795.75, 19,038.14 and 7,508.17 is: 10,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.75 : 19,038.14 = 7,508.17 : x
  2. Step 2: Convert to fraction form
    13,795.75/19,038.14 = 7,508.17/x
  3. Step 3: Cross multiply
    13,795.75x = 19,038.14 × 7,508.17
  4. Step 4: Simplify right side
    13,795.75x = 142,941,591.60
  5. Step 5: Solve for x
    x = 142,941,591.60/13,795.75
  6. Step 6: Final answer
    x = 10,361.28

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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.