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Finding the Fourth Proportional to 21,004.93, 31,506.33 and 7,856.34

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Solution

The fourth proportional to 21,004.93, 31,506.33 and 7,856.34 is: 11,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.93 : 31,506.33 = 7,856.34 : x
  2. Step 2: Convert to fraction form
    21,004.93/31,506.33 = 7,856.34/x
  3. Step 3: Cross multiply
    21,004.93x = 31,506.33 × 7,856.34
  4. Step 4: Simplify right side
    21,004.93x = 247,524,440.63
  5. Step 5: Solve for x
    x = 247,524,440.63/21,004.93
  6. Step 6: Final answer
    x = 11,784.11

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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.