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Finding the Fourth Proportional to 13,510.62, 20,268.72 and 4,150.08

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Solution

The fourth proportional to 13,510.62, 20,268.72 and 4,150.08 is: 6,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.62 : 20,268.72 = 4,150.08 : x
  2. Step 2: Convert to fraction form
    13,510.62/20,268.72 = 4,150.08/x
  3. Step 3: Cross multiply
    13,510.62x = 20,268.72 × 4,150.08
  4. Step 4: Simplify right side
    13,510.62x = 84,116,809.50
  5. Step 5: Solve for x
    x = 84,116,809.50/13,510.62
  6. Step 6: Final answer
    x = 6,225.98

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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.