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Finding the Fourth Proportional to 13,865, 19,133.70 and 7,577.36

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Solution

The fourth proportional to 13,865, 19,133.70 and 7,577.36 is: 10,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865 : 19,133.70 = 7,577.36 : x
  2. Step 2: Convert to fraction form
    13,865/19,133.70 = 7,577.36/x
  3. Step 3: Cross multiply
    13,865x = 19,133.70 × 7,577.36
  4. Step 4: Simplify right side
    13,865x = 144,982,933.03
  5. Step 5: Solve for x
    x = 144,982,933.03/13,865
  6. Step 6: Final answer
    x = 10,456.76

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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.