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Finding the Fourth Proportional to 19,206.25, 26,504.63 and 10,374.25

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Solution

The fourth proportional to 19,206.25, 26,504.63 and 10,374.25 is: 14,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206.25 : 26,504.63 = 10,374.25 : x
  2. Step 2: Convert to fraction form
    19,206.25/26,504.63 = 10,374.25/x
  3. Step 3: Cross multiply
    19,206.25x = 26,504.63 × 10,374.25
  4. Step 4: Simplify right side
    19,206.25x = 274,965,657.78
  5. Step 5: Solve for x
    x = 274,965,657.78/19,206.25
  6. Step 6: Final answer
    x = 14,316.47

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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.