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Finding the Fourth Proportional to 12,853.48, 19,280.22 and 6,709.48

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Solution

The fourth proportional to 12,853.48, 19,280.22 and 6,709.48 is: 10,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.48 : 19,280.22 = 6,709.48 : x
  2. Step 2: Convert to fraction form
    12,853.48/19,280.22 = 6,709.48/x
  3. Step 3: Cross multiply
    12,853.48x = 19,280.22 × 6,709.48
  4. Step 4: Simplify right side
    12,853.48x = 129,360,250.49
  5. Step 5: Solve for x
    x = 129,360,250.49/12,853.48
  6. Step 6: Final answer
    x = 10,064.22

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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.