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Finding the Fourth Proportional to 14,278.25, 19,703.26 and 7,817.72

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Solution

The fourth proportional to 14,278.25, 19,703.26 and 7,817.72 is: 10,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.25 : 19,703.26 = 7,817.72 : x
  2. Step 2: Convert to fraction form
    14,278.25/19,703.26 = 7,817.72/x
  3. Step 3: Cross multiply
    14,278.25x = 19,703.26 × 7,817.72
  4. Step 4: Simplify right side
    14,278.25x = 154,034,481.02
  5. Step 5: Solve for x
    x = 154,034,481.02/14,278.25
  6. Step 6: Final answer
    x = 10,788.05

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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.