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Finding the Fourth Proportional to 30,564.40, 42,178.20 and 17,136.40

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Solution

The fourth proportional to 30,564.40, 42,178.20 and 17,136.40 is: 23,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.40 : 42,178.20 = 17,136.40 : x
  2. Step 2: Convert to fraction form
    30,564.40/42,178.20 = 17,136.40/x
  3. Step 3: Cross multiply
    30,564.40x = 42,178.20 × 17,136.40
  4. Step 4: Simplify right side
    30,564.40x = 722,782,506.48
  5. Step 5: Solve for x
    x = 722,782,506.48/30,564.40
  6. Step 6: Final answer
    x = 23,647.86

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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.