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Finding the Fourth Proportional to 30,894.23, 42,634.13 and 16,747.08

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Solution

The fourth proportional to 30,894.23, 42,634.13 and 16,747.08 is: 23,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.23 : 42,634.13 = 16,747.08 : x
  2. Step 2: Convert to fraction form
    30,894.23/42,634.13 = 16,747.08/x
  3. Step 3: Cross multiply
    30,894.23x = 42,634.13 × 16,747.08
  4. Step 4: Simplify right side
    30,894.23x = 713,997,102.11
  5. Step 5: Solve for x
    x = 713,997,102.11/30,894.23
  6. Step 6: Final answer
    x = 23,111.02

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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.