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Finding the Fourth Proportional to 30,370.24, 41,915.04 and 17,800

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Solution

The fourth proportional to 30,370.24, 41,915.04 and 17,800 is: 24,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370.24 : 41,915.04 = 17,800 : x
  2. Step 2: Convert to fraction form
    30,370.24/41,915.04 = 17,800/x
  3. Step 3: Cross multiply
    30,370.24x = 41,915.04 × 17,800
  4. Step 4: Simplify right side
    30,370.24x = 746,087,712
  5. Step 5: Solve for x
    x = 746,087,712/30,370.24
  6. Step 6: Final answer
    x = 24,566.41

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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.