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Finding the Fourth Proportional to 14,586.84, 21,847.43 and 10,223.78

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Solution

The fourth proportional to 14,586.84, 21,847.43 and 10,223.78 is: 15,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.84 : 21,847.43 = 10,223.78 : x
  2. Step 2: Convert to fraction form
    14,586.84/21,847.43 = 10,223.78/x
  3. Step 3: Cross multiply
    14,586.84x = 21,847.43 × 10,223.78
  4. Step 4: Simplify right side
    14,586.84x = 223,363,157.53
  5. Step 5: Solve for x
    x = 223,363,157.53/14,586.84
  6. Step 6: Final answer
    x = 15,312.65

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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.