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Finding the Fourth Proportional to 21,471.81, 29,639.16 and 12,522.12

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Solution

The fourth proportional to 21,471.81, 29,639.16 and 12,522.12 is: 17,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.81 : 29,639.16 = 12,522.12 : x
  2. Step 2: Convert to fraction form
    21,471.81/29,639.16 = 12,522.12/x
  3. Step 3: Cross multiply
    21,471.81x = 29,639.16 × 12,522.12
  4. Step 4: Simplify right side
    21,471.81x = 371,145,118.22
  5. Step 5: Solve for x
    x = 371,145,118.22/21,471.81
  6. Step 6: Final answer
    x = 17,285.23

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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.