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Finding the Fourth Proportional to 22,970.85, 31,697.42 and 12,900.41

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Solution

The fourth proportional to 22,970.85, 31,697.42 and 12,900.41 is: 17,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.85 : 31,697.42 = 12,900.41 : x
  2. Step 2: Convert to fraction form
    22,970.85/31,697.42 = 12,900.41/x
  3. Step 3: Cross multiply
    22,970.85x = 31,697.42 × 12,900.41
  4. Step 4: Simplify right side
    22,970.85x = 408,909,490.95
  5. Step 5: Solve for x
    x = 408,909,490.95/22,970.85
  6. Step 6: Final answer
    x = 17,801.23

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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.