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Finding the Fourth Proportional to 21,748.69, 32,620 and 6,958.90

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Solution

The fourth proportional to 21,748.69, 32,620 and 6,958.90 is: 10,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.69 : 32,620 = 6,958.90 : x
  2. Step 2: Convert to fraction form
    21,748.69/32,620 = 6,958.90/x
  3. Step 3: Cross multiply
    21,748.69x = 32,620 × 6,958.90
  4. Step 4: Simplify right side
    21,748.69x = 226,999,318
  5. Step 5: Solve for x
    x = 226,999,318/21,748.69
  6. Step 6: Final answer
    x = 10,437.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.