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Finding the Fourth Proportional to 12,457, 17,190.66 and 6,868.36

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Solution

The fourth proportional to 12,457, 17,190.66 and 6,868.36 is: 9,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457 : 17,190.66 = 6,868.36 : x
  2. Step 2: Convert to fraction form
    12,457/17,190.66 = 6,868.36/x
  3. Step 3: Cross multiply
    12,457x = 17,190.66 × 6,868.36
  4. Step 4: Simplify right side
    12,457x = 118,071,641.52
  5. Step 5: Solve for x
    x = 118,071,641.52/12,457
  6. Step 6: Final answer
    x = 9,478.34

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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.