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Finding the Fourth Proportional to 14,586.12, 21,866.76 and 6,685.98

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Solution

The fourth proportional to 14,586.12, 21,866.76 and 6,685.98 is: 10,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.12 : 21,866.76 = 6,685.98 : x
  2. Step 2: Convert to fraction form
    14,586.12/21,866.76 = 6,685.98/x
  3. Step 3: Cross multiply
    14,586.12x = 21,866.76 × 6,685.98
  4. Step 4: Simplify right side
    14,586.12x = 146,200,720.02
  5. Step 5: Solve for x
    x = 146,200,720.02/14,586.12
  6. Step 6: Final answer
    x = 10,023.28

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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.