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Finding the Fourth Proportional to 12,464.97, 18,699.27 and 7,536.93

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Solution

The fourth proportional to 12,464.97, 18,699.27 and 7,536.93 is: 11,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.97 : 18,699.27 = 7,536.93 : x
  2. Step 2: Convert to fraction form
    12,464.97/18,699.27 = 7,536.93/x
  3. Step 3: Cross multiply
    12,464.97x = 18,699.27 × 7,536.93
  4. Step 4: Simplify right side
    12,464.97x = 140,935,089.04
  5. Step 5: Solve for x
    x = 140,935,089.04/12,464.97
  6. Step 6: Final answer
    x = 11,306.49

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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.