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Finding the Fourth Proportional to 19,024.96, 26,257.08 and 10,642

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Solution

The fourth proportional to 19,024.96, 26,257.08 and 10,642 is: 14,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024.96 : 26,257.08 = 10,642 : x
  2. Step 2: Convert to fraction form
    19,024.96/26,257.08 = 10,642/x
  3. Step 3: Cross multiply
    19,024.96x = 26,257.08 × 10,642
  4. Step 4: Simplify right side
    19,024.96x = 279,427,845.36
  5. Step 5: Solve for x
    x = 279,427,845.36/19,024.96
  6. Step 6: Final answer
    x = 14,687.43

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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.