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Finding the Fourth Proportional to 14,427.75, 19,910.61 and 8,140.14

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Solution

The fourth proportional to 14,427.75, 19,910.61 and 8,140.14 is: 11,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.75 : 19,910.61 = 8,140.14 : x
  2. Step 2: Convert to fraction form
    14,427.75/19,910.61 = 8,140.14/x
  3. Step 3: Cross multiply
    14,427.75x = 19,910.61 × 8,140.14
  4. Step 4: Simplify right side
    14,427.75x = 162,075,152.89
  5. Step 5: Solve for x
    x = 162,075,152.89/14,427.75
  6. Step 6: Final answer
    x = 11,233.57

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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.