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Finding the Fourth Proportional to 30,894.16, 46,344.83 and 11,182.00

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Solution

The fourth proportional to 30,894.16, 46,344.83 and 11,182.00 is: 16,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.16 : 46,344.83 = 11,182.00 : x
  2. Step 2: Convert to fraction form
    30,894.16/46,344.83 = 11,182.00/x
  3. Step 3: Cross multiply
    30,894.16x = 46,344.83 × 11,182.00
  4. Step 4: Simplify right side
    30,894.16x = 518,227,685.29
  5. Step 5: Solve for x
    x = 518,227,685.29/30,894.16
  6. Step 6: Final answer
    x = 16,774.30

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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.