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Finding the Fourth Proportional to 30,894.84, 42,633.22 and 17,465.29

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Solution

The fourth proportional to 30,894.84, 42,633.22 and 17,465.29 is: 24,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.84 : 42,633.22 = 17,465.29 : x
  2. Step 2: Convert to fraction form
    30,894.84/42,633.22 = 17,465.29/x
  3. Step 3: Cross multiply
    30,894.84x = 42,633.22 × 17,465.29
  4. Step 4: Simplify right side
    30,894.84x = 744,601,553.34
  5. Step 5: Solve for x
    x = 744,601,553.34/30,894.84
  6. Step 6: Final answer
    x = 24,101.16

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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.