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Finding the Fourth Proportional to 21,382, 29,507.08 and 11,950.56

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Solution

The fourth proportional to 21,382, 29,507.08 and 11,950.56 is: 16,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382 : 29,507.08 = 11,950.56 : x
  2. Step 2: Convert to fraction form
    21,382/29,507.08 = 11,950.56/x
  3. Step 3: Cross multiply
    21,382x = 29,507.08 × 11,950.56
  4. Step 4: Simplify right side
    21,382x = 352,626,129.96
  5. Step 5: Solve for x
    x = 352,626,129.96/21,382
  6. Step 6: Final answer
    x = 16,491.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.