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Finding the Fourth Proportional to 14,586.84, 21,883.50 and 4,199.40

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Solution

The fourth proportional to 14,586.84, 21,883.50 and 4,199.40 is: 6,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.84 : 21,883.50 = 4,199.40 : x
  2. Step 2: Convert to fraction form
    14,586.84/21,883.50 = 4,199.40/x
  3. Step 3: Cross multiply
    14,586.84x = 21,883.50 × 4,199.40
  4. Step 4: Simplify right side
    14,586.84x = 91,897,569.90
  5. Step 5: Solve for x
    x = 91,897,569.90/14,586.84
  6. Step 6: Final answer
    x = 6,300.03

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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.