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Finding the Fourth Proportional to 13,643.51, 20,460.87 and 5,321.48

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Solution

The fourth proportional to 13,643.51, 20,460.87 and 5,321.48 is: 7,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.51 : 20,460.87 = 5,321.48 : x
  2. Step 2: Convert to fraction form
    13,643.51/20,460.87 = 5,321.48/x
  3. Step 3: Cross multiply
    13,643.51x = 20,460.87 × 5,321.48
  4. Step 4: Simplify right side
    13,643.51x = 108,882,008.18
  5. Step 5: Solve for x
    x = 108,882,008.18/13,643.51
  6. Step 6: Final answer
    x = 7,980.50

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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.