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Finding the Fourth Proportional to 14,191.98, 19,586.10 and 8,223.69

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Solution

The fourth proportional to 14,191.98, 19,586.10 and 8,223.69 is: 11,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.98 : 19,586.10 = 8,223.69 : x
  2. Step 2: Convert to fraction form
    14,191.98/19,586.10 = 8,223.69/x
  3. Step 3: Cross multiply
    14,191.98x = 19,586.10 × 8,223.69
  4. Step 4: Simplify right side
    14,191.98x = 161,070,014.71
  5. Step 5: Solve for x
    x = 161,070,014.71/14,191.98
  6. Step 6: Final answer
    x = 11,349.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.