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Finding the Fourth Proportional to 21,090.32, 31,655.16 and 10,709.84

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Solution

The fourth proportional to 21,090.32, 31,655.16 and 10,709.84 is: 16,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090.32 : 31,655.16 = 10,709.84 : x
  2. Step 2: Convert to fraction form
    21,090.32/31,655.16 = 10,709.84/x
  3. Step 3: Cross multiply
    21,090.32x = 31,655.16 × 10,709.84
  4. Step 4: Simplify right side
    21,090.32x = 339,021,698.77
  5. Step 5: Solve for x
    x = 339,021,698.77/21,090.32
  6. Step 6: Final answer
    x = 16,074.75

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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.