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Finding the Fourth Proportional to 14,427.88, 19,910.32 and 8,140.28

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Solution

The fourth proportional to 14,427.88, 19,910.32 and 8,140.28 is: 11,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.88 : 19,910.32 = 8,140.28 : x
  2. Step 2: Convert to fraction form
    14,427.88/19,910.32 = 8,140.28/x
  3. Step 3: Cross multiply
    14,427.88x = 19,910.32 × 8,140.28
  4. Step 4: Simplify right side
    14,427.88x = 162,075,579.69
  5. Step 5: Solve for x
    x = 162,075,579.69/14,427.88
  6. Step 6: Final answer
    x = 11,233.50

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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.