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Finding the Fourth Proportional to 12,384.68, 17,090.34 and 6,795.32

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Solution

The fourth proportional to 12,384.68, 17,090.34 and 6,795.32 is: 9,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.68 : 17,090.34 = 6,795.32 : x
  2. Step 2: Convert to fraction form
    12,384.68/17,090.34 = 6,795.32/x
  3. Step 3: Cross multiply
    12,384.68x = 17,090.34 × 6,795.32
  4. Step 4: Simplify right side
    12,384.68x = 116,134,329.21
  5. Step 5: Solve for x
    x = 116,134,329.21/12,384.68
  6. Step 6: Final answer
    x = 9,377.26

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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.