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Finding the Fourth Proportional to 30,691.84, 42,354.32 and 17,263.08

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Solution

The fourth proportional to 30,691.84, 42,354.32 and 17,263.08 is: 23,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.84 : 42,354.32 = 17,263.08 : x
  2. Step 2: Convert to fraction form
    30,691.84/42,354.32 = 17,263.08/x
  3. Step 3: Cross multiply
    30,691.84x = 42,354.32 × 17,263.08
  4. Step 4: Simplify right side
    30,691.84x = 731,166,014.51
  5. Step 5: Solve for x
    x = 731,166,014.51/30,691.84
  6. Step 6: Final answer
    x = 23,822.81

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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.