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Finding the Fourth Proportional to 21,541.98, 32,312.99 and 9,847

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Solution

The fourth proportional to 21,541.98, 32,312.99 and 9,847 is: 14,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.98 : 32,312.99 = 9,847 : x
  2. Step 2: Convert to fraction form
    21,541.98/32,312.99 = 9,847/x
  3. Step 3: Cross multiply
    21,541.98x = 32,312.99 × 9,847
  4. Step 4: Simplify right side
    21,541.98x = 318,186,012.53
  5. Step 5: Solve for x
    x = 318,186,012.53/21,541.98
  6. Step 6: Final answer
    x = 14,770.51

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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.