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Finding the Fourth Proportional to 12,707.01, 19,054.59 and 6,782.30

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Solution

The fourth proportional to 12,707.01, 19,054.59 and 6,782.30 is: 10,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.01 : 19,054.59 = 6,782.30 : x
  2. Step 2: Convert to fraction form
    12,707.01/19,054.59 = 6,782.30/x
  3. Step 3: Cross multiply
    12,707.01x = 19,054.59 × 6,782.30
  4. Step 4: Simplify right side
    12,707.01x = 129,233,850.48
  5. Step 5: Solve for x
    x = 129,233,850.48/12,707.01
  6. Step 6: Final answer
    x = 10,170.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.