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Finding the Fourth Proportional to 14,461.30, 21,672.34 and 6,553.94

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Solution

The fourth proportional to 14,461.30, 21,672.34 and 6,553.94 is: 9,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.30 : 21,672.34 = 6,553.94 : x
  2. Step 2: Convert to fraction form
    14,461.30/21,672.34 = 6,553.94/x
  3. Step 3: Cross multiply
    14,461.30x = 21,672.34 × 6,553.94
  4. Step 4: Simplify right side
    14,461.30x = 142,039,216.02
  5. Step 5: Solve for x
    x = 142,039,216.02/14,461.30
  6. Step 6: Final answer
    x = 9,822.02

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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.