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Finding the Fourth Proportional to 21,054.34, 31,584.75 and 7,009.55

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Solution

The fourth proportional to 21,054.34, 31,584.75 and 7,009.55 is: 10,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054.34 : 31,584.75 = 7,009.55 : x
  2. Step 2: Convert to fraction form
    21,054.34/31,584.75 = 7,009.55/x
  3. Step 3: Cross multiply
    21,054.34x = 31,584.75 × 7,009.55
  4. Step 4: Simplify right side
    21,054.34x = 221,394,884.36
  5. Step 5: Solve for x
    x = 221,394,884.36/21,054.34
  6. Step 6: Final answer
    x = 10,515.40

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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.