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Finding the Fourth Proportional to 29,830.18, 41,166.60 and 16,402

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Solution

The fourth proportional to 29,830.18, 41,166.60 and 16,402 is: 22,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.18 : 41,166.60 = 16,402 : x
  2. Step 2: Convert to fraction form
    29,830.18/41,166.60 = 16,402/x
  3. Step 3: Cross multiply
    29,830.18x = 41,166.60 × 16,402
  4. Step 4: Simplify right side
    29,830.18x = 675,214,573.20
  5. Step 5: Solve for x
    x = 675,214,573.20/29,830.18
  6. Step 6: Final answer
    x = 22,635.28

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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.