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Finding the Fourth Proportional to 14,000.90, 19,314.92 and 9,219.56

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Solution

The fourth proportional to 14,000.90, 19,314.92 and 9,219.56 is: 12,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.90 : 19,314.92 = 9,219.56 : x
  2. Step 2: Convert to fraction form
    14,000.90/19,314.92 = 9,219.56/x
  3. Step 3: Cross multiply
    14,000.90x = 19,314.92 × 9,219.56
  4. Step 4: Simplify right side
    14,000.90x = 178,075,063.84
  5. Step 5: Solve for x
    x = 178,075,063.84/14,000.90
  6. Step 6: Final answer
    x = 12,718.83

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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.