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Finding the Fourth Proportional to 22,922.40, 31,635.06 and 13,970.70

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Solution

The fourth proportional to 22,922.40, 31,635.06 and 13,970.70 is: 19,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.40 : 31,635.06 = 13,970.70 : x
  2. Step 2: Convert to fraction form
    22,922.40/31,635.06 = 13,970.70/x
  3. Step 3: Cross multiply
    22,922.40x = 31,635.06 × 13,970.70
  4. Step 4: Simplify right side
    22,922.40x = 441,963,932.74
  5. Step 5: Solve for x
    x = 441,963,932.74/22,922.40
  6. Step 6: Final answer
    x = 19,280.88

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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.