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Finding the Fourth Proportional to 30,652, 42,299.80 and 17,404

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Solution

The fourth proportional to 30,652, 42,299.80 and 17,404 is: 24,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652 : 42,299.80 = 17,404 : x
  2. Step 2: Convert to fraction form
    30,652/42,299.80 = 17,404/x
  3. Step 3: Cross multiply
    30,652x = 42,299.80 × 17,404
  4. Step 4: Simplify right side
    30,652x = 736,185,719.20
  5. Step 5: Solve for x
    x = 736,185,719.20/30,652
  6. Step 6: Final answer
    x = 24,017.54

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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.