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Finding the Fourth Proportional to 13,120.84, 19,666.14 and 5,321.08

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Solution

The fourth proportional to 13,120.84, 19,666.14 and 5,321.08 is: 7,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.84 : 19,666.14 = 5,321.08 : x
  2. Step 2: Convert to fraction form
    13,120.84/19,666.14 = 5,321.08/x
  3. Step 3: Cross multiply
    13,120.84x = 19,666.14 × 5,321.08
  4. Step 4: Simplify right side
    13,120.84x = 104,645,104.23
  5. Step 5: Solve for x
    x = 104,645,104.23/13,120.84
  6. Step 6: Final answer
    x = 7,975.49

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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.