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Finding the Fourth Proportional to 11,804.24, 17,657.72 and 9,700.56

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Solution

The fourth proportional to 11,804.24, 17,657.72 and 9,700.56 is: 14,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.24 : 17,657.72 = 9,700.56 : x
  2. Step 2: Convert to fraction form
    11,804.24/17,657.72 = 9,700.56/x
  3. Step 3: Cross multiply
    11,804.24x = 17,657.72 × 9,700.56
  4. Step 4: Simplify right side
    11,804.24x = 171,289,772.32
  5. Step 5: Solve for x
    x = 171,289,772.32/11,804.24
  6. Step 6: Final answer
    x = 14,510.87

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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.