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Finding the Fourth Proportional to 26,533.70, 39,803.14 and 9,889.84

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Solution

The fourth proportional to 26,533.70, 39,803.14 and 9,889.84 is: 14,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,533.70 : 39,803.14 = 9,889.84 : x
  2. Step 2: Convert to fraction form
    26,533.70/39,803.14 = 9,889.84/x
  3. Step 3: Cross multiply
    26,533.70x = 39,803.14 × 9,889.84
  4. Step 4: Simplify right side
    26,533.70x = 393,646,870.51
  5. Step 5: Solve for x
    x = 393,646,870.51/26,533.70
  6. Step 6: Final answer
    x = 14,835.73

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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.