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Finding the Fourth Proportional to 29,830.40, 41,166.56 and 16,402.22

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Solution

The fourth proportional to 29,830.40, 41,166.56 and 16,402.22 is: 22,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.40 : 41,166.56 = 16,402.22 : x
  2. Step 2: Convert to fraction form
    29,830.40/41,166.56 = 16,402.22/x
  3. Step 3: Cross multiply
    29,830.40x = 41,166.56 × 16,402.22
  4. Step 4: Simplify right side
    29,830.40x = 675,222,973.76
  5. Step 5: Solve for x
    x = 675,222,973.76/29,830.40
  6. Step 6: Final answer
    x = 22,635.40

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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.