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Finding the Fourth Proportional to 12,707.30, 19,048.65 and 5,683.34

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Solution

The fourth proportional to 12,707.30, 19,048.65 and 5,683.34 is: 8,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.30 : 19,048.65 = 5,683.34 : x
  2. Step 2: Convert to fraction form
    12,707.30/19,048.65 = 5,683.34/x
  3. Step 3: Cross multiply
    12,707.30x = 19,048.65 × 5,683.34
  4. Step 4: Simplify right side
    12,707.30x = 108,259,954.49
  5. Step 5: Solve for x
    x = 108,259,954.49/12,707.30
  6. Step 6: Final answer
    x = 8,519.51

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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.