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Finding the Fourth Proportional to 14,266.14, 19,687.26 and 7,978.50

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Solution

The fourth proportional to 14,266.14, 19,687.26 and 7,978.50 is: 11,010.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.14 : 19,687.26 = 7,978.50 : x
  2. Step 2: Convert to fraction form
    14,266.14/19,687.26 = 7,978.50/x
  3. Step 3: Cross multiply
    14,266.14x = 19,687.26 × 7,978.50
  4. Step 4: Simplify right side
    14,266.14x = 157,074,803.91
  5. Step 5: Solve for x
    x = 157,074,803.91/14,266.14
  6. Step 6: Final answer
    x = 11,010.32

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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.