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Finding the Fourth Proportional to 30,654, 42,302.56 and 17,406

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Solution

The fourth proportional to 30,654, 42,302.56 and 17,406 is: 24,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654 : 42,302.56 = 17,406 : x
  2. Step 2: Convert to fraction form
    30,654/42,302.56 = 17,406/x
  3. Step 3: Cross multiply
    30,654x = 42,302.56 × 17,406
  4. Step 4: Simplify right side
    30,654x = 736,318,359.36
  5. Step 5: Solve for x
    x = 736,318,359.36/30,654
  6. Step 6: Final answer
    x = 24,020.30

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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.