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Finding the Fourth Proportional to 13,782.30, 19,014.96 and 7,731.66

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Solution

The fourth proportional to 13,782.30, 19,014.96 and 7,731.66 is: 10,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.30 : 19,014.96 = 7,731.66 : x
  2. Step 2: Convert to fraction form
    13,782.30/19,014.96 = 7,731.66/x
  3. Step 3: Cross multiply
    13,782.30x = 19,014.96 × 7,731.66
  4. Step 4: Simplify right side
    13,782.30x = 147,017,205.63
  5. Step 5: Solve for x
    x = 147,017,205.63/13,782.30
  6. Step 6: Final answer
    x = 10,667.10

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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.