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Finding the Fourth Proportional to 21,014.70, 31,522.05 and 12,266.70

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Solution

The fourth proportional to 21,014.70, 31,522.05 and 12,266.70 is: 18,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.70 : 31,522.05 = 12,266.70 : x
  2. Step 2: Convert to fraction form
    21,014.70/31,522.05 = 12,266.70/x
  3. Step 3: Cross multiply
    21,014.70x = 31,522.05 × 12,266.70
  4. Step 4: Simplify right side
    21,014.70x = 386,671,530.74
  5. Step 5: Solve for x
    x = 386,671,530.74/21,014.70
  6. Step 6: Final answer
    x = 18,400.05

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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.