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Finding the Fourth Proportional to 22,968.88, 31,698.89 and 12,898

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Solution

The fourth proportional to 22,968.88, 31,698.89 and 12,898 is: 17,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.88 : 31,698.89 = 12,898 : x
  2. Step 2: Convert to fraction form
    22,968.88/31,698.89 = 12,898/x
  3. Step 3: Cross multiply
    22,968.88x = 31,698.89 × 12,898
  4. Step 4: Simplify right side
    22,968.88x = 408,852,283.22
  5. Step 5: Solve for x
    x = 408,852,283.22/22,968.88
  6. Step 6: Final answer
    x = 17,800.27

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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.