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Finding the Fourth Proportional to 17,809.74, 26,714.31 and 7,277.46

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Solution

The fourth proportional to 17,809.74, 26,714.31 and 7,277.46 is: 10,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.74 : 26,714.31 = 7,277.46 : x
  2. Step 2: Convert to fraction form
    17,809.74/26,714.31 = 7,277.46/x
  3. Step 3: Cross multiply
    17,809.74x = 26,714.31 × 7,277.46
  4. Step 4: Simplify right side
    17,809.74x = 194,412,322.45
  5. Step 5: Solve for x
    x = 194,412,322.45/17,809.74
  6. Step 6: Final answer
    x = 10,916.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.