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Finding the Fourth Proportional to 22,969.88, 31,698.32 and 12,898.48

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Solution

The fourth proportional to 22,969.88, 31,698.32 and 12,898.48 is: 17,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.88 : 31,698.32 = 12,898.48 : x
  2. Step 2: Convert to fraction form
    22,969.88/31,698.32 = 12,898.48/x
  3. Step 3: Cross multiply
    22,969.88x = 31,698.32 × 12,898.48
  4. Step 4: Simplify right side
    22,969.88x = 408,860,146.55
  5. Step 5: Solve for x
    x = 408,860,146.55/22,969.88
  6. Step 6: Final answer
    x = 17,799.84

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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.