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Finding the Fourth Proportional to 21,000.19, 31,506.43 and 6,209.49

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Solution

The fourth proportional to 21,000.19, 31,506.43 and 6,209.49 is: 9,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.19 : 31,506.43 = 6,209.49 : x
  2. Step 2: Convert to fraction form
    21,000.19/31,506.43 = 6,209.49/x
  3. Step 3: Cross multiply
    21,000.19x = 31,506.43 × 6,209.49
  4. Step 4: Simplify right side
    21,000.19x = 195,638,704.49
  5. Step 5: Solve for x
    x = 195,638,704.49/21,000.19
  6. Step 6: Final answer
    x = 9,316.05

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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.