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Finding the Fourth Proportional to 13,803.02, 20,715.02 and 10,114.89

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Solution

The fourth proportional to 13,803.02, 20,715.02 and 10,114.89 is: 15,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.02 : 20,715.02 = 10,114.89 : x
  2. Step 2: Convert to fraction form
    13,803.02/20,715.02 = 10,114.89/x
  3. Step 3: Cross multiply
    13,803.02x = 20,715.02 × 10,114.89
  4. Step 4: Simplify right side
    13,803.02x = 209,530,148.65
  5. Step 5: Solve for x
    x = 209,530,148.65/13,803.02
  6. Step 6: Final answer
    x = 15,180.02

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Why These Related Problems?

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