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Finding the Fourth Proportional to 21,498.37, 29,673.92 and 13,000.50

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Solution

The fourth proportional to 21,498.37, 29,673.92 and 13,000.50 is: 17,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.37 : 29,673.92 = 13,000.50 : x
  2. Step 2: Convert to fraction form
    21,498.37/29,673.92 = 13,000.50/x
  3. Step 3: Cross multiply
    21,498.37x = 29,673.92 × 13,000.50
  4. Step 4: Simplify right side
    21,498.37x = 385,775,829.46
  5. Step 5: Solve for x
    x = 385,775,829.46/21,498.37
  6. Step 6: Final answer
    x = 17,944.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.