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Finding the Fourth Proportional to 30,430.12, 41,994.42 and 17,002.86

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Solution

The fourth proportional to 30,430.12, 41,994.42 and 17,002.86 is: 23,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.12 : 41,994.42 = 17,002.86 : x
  2. Step 2: Convert to fraction form
    30,430.12/41,994.42 = 17,002.86/x
  3. Step 3: Cross multiply
    30,430.12x = 41,994.42 × 17,002.86
  4. Step 4: Simplify right side
    30,430.12x = 714,025,244.04
  5. Step 5: Solve for x
    x = 714,025,244.04/30,430.12
  6. Step 6: Final answer
    x = 23,464.42

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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.