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Finding the Fourth Proportional to 21,011.46, 31,507.95 and 6,221.52

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Solution

The fourth proportional to 21,011.46, 31,507.95 and 6,221.52 is: 9,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.46 : 31,507.95 = 6,221.52 : x
  2. Step 2: Convert to fraction form
    21,011.46/31,507.95 = 6,221.52/x
  3. Step 3: Cross multiply
    21,011.46x = 31,507.95 × 6,221.52
  4. Step 4: Simplify right side
    21,011.46x = 196,027,341.08
  5. Step 5: Solve for x
    x = 196,027,341.08/21,011.46
  6. Step 6: Final answer
    x = 9,329.54

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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.