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Finding the Fourth Proportional to 24,731, 34,128.84 and 13,553

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Solution

The fourth proportional to 24,731, 34,128.84 and 13,553 is: 18,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731 : 34,128.84 = 13,553 : x
  2. Step 2: Convert to fraction form
    24,731/34,128.84 = 13,553/x
  3. Step 3: Cross multiply
    24,731x = 34,128.84 × 13,553
  4. Step 4: Simplify right side
    24,731x = 462,548,168.52
  5. Step 5: Solve for x
    x = 462,548,168.52/24,731
  6. Step 6: Final answer
    x = 18,703.17

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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.