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Finding the Fourth Proportional to 12,323.36, 17,006 and 6,734.40

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Solution

The fourth proportional to 12,323.36, 17,006 and 6,734.40 is: 9,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.36 : 17,006 = 6,734.40 : x
  2. Step 2: Convert to fraction form
    12,323.36/17,006 = 6,734.40/x
  3. Step 3: Cross multiply
    12,323.36x = 17,006 × 6,734.40
  4. Step 4: Simplify right side
    12,323.36x = 114,525,206.40
  5. Step 5: Solve for x
    x = 114,525,206.40/12,323.36
  6. Step 6: Final answer
    x = 9,293.34

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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.