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Finding the Fourth Proportional to 12,718.50, 19,083 and 6,868.22

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Solution

The fourth proportional to 12,718.50, 19,083 and 6,868.22 is: 10,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.50 : 19,083 = 6,868.22 : x
  2. Step 2: Convert to fraction form
    12,718.50/19,083 = 6,868.22/x
  3. Step 3: Cross multiply
    12,718.50x = 19,083 × 6,868.22
  4. Step 4: Simplify right side
    12,718.50x = 131,066,242.26
  5. Step 5: Solve for x
    x = 131,066,242.26/12,718.50
  6. Step 6: Final answer
    x = 10,305.17

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Why These Related Problems?

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