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Finding the Fourth Proportional to 21,498.34, 29,670.44 and 13,000.52

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Solution

The fourth proportional to 21,498.34, 29,670.44 and 13,000.52 is: 17,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.34 : 29,670.44 = 13,000.52 : x
  2. Step 2: Convert to fraction form
    21,498.34/29,670.44 = 13,000.52/x
  3. Step 3: Cross multiply
    21,498.34x = 29,670.44 × 13,000.52
  4. Step 4: Simplify right side
    21,498.34x = 385,731,255.31
  5. Step 5: Solve for x
    x = 385,731,255.31/21,498.34
  6. Step 6: Final answer
    x = 17,942.37

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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.