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Finding the Fourth Proportional to 18,261.47, 27,395.23 and 6,412.16

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Solution

The fourth proportional to 18,261.47, 27,395.23 and 6,412.16 is: 9,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261.47 : 27,395.23 = 6,412.16 : x
  2. Step 2: Convert to fraction form
    18,261.47/27,395.23 = 6,412.16/x
  3. Step 3: Cross multiply
    18,261.47x = 27,395.23 × 6,412.16
  4. Step 4: Simplify right side
    18,261.47x = 175,662,701.82
  5. Step 5: Solve for x
    x = 175,662,701.82/18,261.47
  6. Step 6: Final answer
    x = 9,619.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.