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Finding the Fourth Proportional to 12,405.40, 17,119.64 and 6,740.24

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Solution

The fourth proportional to 12,405.40, 17,119.64 and 6,740.24 is: 9,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.40 : 17,119.64 = 6,740.24 : x
  2. Step 2: Convert to fraction form
    12,405.40/17,119.64 = 6,740.24/x
  3. Step 3: Cross multiply
    12,405.40x = 17,119.64 × 6,740.24
  4. Step 4: Simplify right side
    12,405.40x = 115,390,482.31
  5. Step 5: Solve for x
    x = 115,390,482.31/12,405.40
  6. Step 6: Final answer
    x = 9,301.63

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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.