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Finding the Fourth Proportional to 21,506.99, 29,680.47 and 11,947.59

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Solution

The fourth proportional to 21,506.99, 29,680.47 and 11,947.59 is: 16,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.99 : 29,680.47 = 11,947.59 : x
  2. Step 2: Convert to fraction form
    21,506.99/29,680.47 = 11,947.59/x
  3. Step 3: Cross multiply
    21,506.99x = 29,680.47 × 11,947.59
  4. Step 4: Simplify right side
    21,506.99x = 354,610,086.57
  5. Step 5: Solve for x
    x = 354,610,086.57/21,506.99
  6. Step 6: Final answer
    x = 16,488.14

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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.