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Finding the Fourth Proportional to 30,646.86, 45,958.38 and 11,924.40

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Solution

The fourth proportional to 30,646.86, 45,958.38 and 11,924.40 is: 17,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.86 : 45,958.38 = 11,924.40 : x
  2. Step 2: Convert to fraction form
    30,646.86/45,958.38 = 11,924.40/x
  3. Step 3: Cross multiply
    30,646.86x = 45,958.38 × 11,924.40
  4. Step 4: Simplify right side
    30,646.86x = 548,026,106.47
  5. Step 5: Solve for x
    x = 548,026,106.47/30,646.86
  6. Step 6: Final answer
    x = 17,881.97

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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.