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Finding the Fourth Proportional to 30,419.10, 41,976.93 and 16,987.68

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Solution

The fourth proportional to 30,419.10, 41,976.93 and 16,987.68 is: 23,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.10 : 41,976.93 = 16,987.68 : x
  2. Step 2: Convert to fraction form
    30,419.10/41,976.93 = 16,987.68/x
  3. Step 3: Cross multiply
    30,419.10x = 41,976.93 × 16,987.68
  4. Step 4: Simplify right side
    30,419.10x = 713,090,654.22
  5. Step 5: Solve for x
    x = 713,090,654.22/30,419.10
  6. Step 6: Final answer
    x = 23,442.20

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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.