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Finding the Fourth Proportional to 21,570, 29,767.32 and 13,184.88

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Solution

The fourth proportional to 21,570, 29,767.32 and 13,184.88 is: 18,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570 : 29,767.32 = 13,184.88 : x
  2. Step 2: Convert to fraction form
    21,570/29,767.32 = 13,184.88/x
  3. Step 3: Cross multiply
    21,570x = 29,767.32 × 13,184.88
  4. Step 4: Simplify right side
    21,570x = 392,478,542.12
  5. Step 5: Solve for x
    x = 392,478,542.12/21,570
  6. Step 6: Final answer
    x = 18,195.57

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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.