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Finding the Fourth Proportional to 15,346.98, 23,021.73 and 6,464.88

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Solution

The fourth proportional to 15,346.98, 23,021.73 and 6,464.88 is: 9,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,346.98 : 23,021.73 = 6,464.88 : x
  2. Step 2: Convert to fraction form
    15,346.98/23,021.73 = 6,464.88/x
  3. Step 3: Cross multiply
    15,346.98x = 23,021.73 × 6,464.88
  4. Step 4: Simplify right side
    15,346.98x = 148,832,721.84
  5. Step 5: Solve for x
    x = 148,832,721.84/15,346.98
  6. Step 6: Final answer
    x = 9,697.85

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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.