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Finding the Fourth Proportional to 21,367.70, 31,970.22 and 12,903.05

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Solution

The fourth proportional to 21,367.70, 31,970.22 and 12,903.05 is: 19,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367.70 : 31,970.22 = 12,903.05 : x
  2. Step 2: Convert to fraction form
    21,367.70/31,970.22 = 12,903.05/x
  3. Step 3: Cross multiply
    21,367.70x = 31,970.22 × 12,903.05
  4. Step 4: Simplify right side
    21,367.70x = 412,513,347.17
  5. Step 5: Solve for x
    x = 412,513,347.17/21,367.70
  6. Step 6: Final answer
    x = 19,305.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.