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Finding the Fourth Proportional to 14,266.13, 19,687.32 and 7,978.50

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Solution

The fourth proportional to 14,266.13, 19,687.32 and 7,978.50 is: 11,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.13 : 19,687.32 = 7,978.50 : x
  2. Step 2: Convert to fraction form
    14,266.13/19,687.32 = 7,978.50/x
  3. Step 3: Cross multiply
    14,266.13x = 19,687.32 × 7,978.50
  4. Step 4: Simplify right side
    14,266.13x = 157,075,282.62
  5. Step 5: Solve for x
    x = 157,075,282.62/14,266.13
  6. Step 6: Final answer
    x = 11,010.37

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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.