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Finding the Fourth Proportional to 21,128.40, 31,698 and 7,980.84

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Solution

The fourth proportional to 21,128.40, 31,698 and 7,980.84 is: 11,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,128.40 : 31,698 = 7,980.84 : x
  2. Step 2: Convert to fraction form
    21,128.40/31,698 = 7,980.84/x
  3. Step 3: Cross multiply
    21,128.40x = 31,698 × 7,980.84
  4. Step 4: Simplify right side
    21,128.40x = 252,976,666.32
  5. Step 5: Solve for x
    x = 252,976,666.32/21,128.40
  6. Step 6: Final answer
    x = 11,973.30

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