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Finding the Fourth Proportional to 22,660.40, 31,270.70 and 12,970.10

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Solution

The fourth proportional to 22,660.40, 31,270.70 and 12,970.10 is: 17,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,660.40 : 31,270.70 = 12,970.10 : x
  2. Step 2: Convert to fraction form
    22,660.40/31,270.70 = 12,970.10/x
  3. Step 3: Cross multiply
    22,660.40x = 31,270.70 × 12,970.10
  4. Step 4: Simplify right side
    22,660.40x = 405,584,106.07
  5. Step 5: Solve for x
    x = 405,584,106.07/22,660.40
  6. Step 6: Final answer
    x = 17,898.36

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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.