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Finding the Fourth Proportional to 12,449.49, 17,176.64 and 7,411.19

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Solution

The fourth proportional to 12,449.49, 17,176.64 and 7,411.19 is: 10,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.49 : 17,176.64 = 7,411.19 : x
  2. Step 2: Convert to fraction form
    12,449.49/17,176.64 = 7,411.19/x
  3. Step 3: Cross multiply
    12,449.49x = 17,176.64 × 7,411.19
  4. Step 4: Simplify right side
    12,449.49x = 127,299,219.66
  5. Step 5: Solve for x
    x = 127,299,219.66/12,449.49
  6. Step 6: Final answer
    x = 10,225.26

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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.