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Finding the Fourth Proportional to 20,533.70, 28,336.49 and 11,102.18

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Solution

The fourth proportional to 20,533.70, 28,336.49 and 11,102.18 is: 15,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.70 : 28,336.49 = 11,102.18 : x
  2. Step 2: Convert to fraction form
    20,533.70/28,336.49 = 11,102.18/x
  3. Step 3: Cross multiply
    20,533.70x = 28,336.49 × 11,102.18
  4. Step 4: Simplify right side
    20,533.70x = 314,596,812.55
  5. Step 5: Solve for x
    x = 314,596,812.55/20,533.70
  6. Step 6: Final answer
    x = 15,321.00

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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.