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Finding the Fourth Proportional to 13,795, 19,037.10 and 7,507.42

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Solution

The fourth proportional to 13,795, 19,037.10 and 7,507.42 is: 10,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795 : 19,037.10 = 7,507.42 : x
  2. Step 2: Convert to fraction form
    13,795/19,037.10 = 7,507.42/x
  3. Step 3: Cross multiply
    13,795x = 19,037.10 × 7,507.42
  4. Step 4: Simplify right side
    13,795x = 142,919,505.28
  5. Step 5: Solve for x
    x = 142,919,505.28/13,795
  6. Step 6: Final answer
    x = 10,360.24

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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.