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Finding the Fourth Proportional to 14,433, 21,586.96 and 8,495.74

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Solution

The fourth proportional to 14,433, 21,586.96 and 8,495.74 is: 12,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433 : 21,586.96 = 8,495.74 : x
  2. Step 2: Convert to fraction form
    14,433/21,586.96 = 8,495.74/x
  3. Step 3: Cross multiply
    14,433x = 21,586.96 × 8,495.74
  4. Step 4: Simplify right side
    14,433x = 183,397,157.07
  5. Step 5: Solve for x
    x = 183,397,157.07/14,433
  6. Step 6: Final answer
    x = 12,706.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.