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Finding the Fourth Proportional to 13,021.08, 17,970.84 and 7,984.32

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Solution

The fourth proportional to 13,021.08, 17,970.84 and 7,984.32 is: 11,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.08 : 17,970.84 = 7,984.32 : x
  2. Step 2: Convert to fraction form
    13,021.08/17,970.84 = 7,984.32/x
  3. Step 3: Cross multiply
    13,021.08x = 17,970.84 × 7,984.32
  4. Step 4: Simplify right side
    13,021.08x = 143,484,937.23
  5. Step 5: Solve for x
    x = 143,484,937.23/13,021.08
  6. Step 6: Final answer
    x = 11,019.43

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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.