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Finding the Fourth Proportional to 14,486.84, 21,693.50 and 12,140.67

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Solution

The fourth proportional to 14,486.84, 21,693.50 and 12,140.67 is: 18,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.84 : 21,693.50 = 12,140.67 : x
  2. Step 2: Convert to fraction form
    14,486.84/21,693.50 = 12,140.67/x
  3. Step 3: Cross multiply
    14,486.84x = 21,693.50 × 12,140.67
  4. Step 4: Simplify right side
    14,486.84x = 263,373,563.94
  5. Step 5: Solve for x
    x = 263,373,563.94/14,486.84
  6. Step 6: Final answer
    x = 18,180.20

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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.