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Finding the Fourth Proportional to 22,665, 31,277.72 and 12,729

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Solution

The fourth proportional to 22,665, 31,277.72 and 12,729 is: 17,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665 : 31,277.72 = 12,729 : x
  2. Step 2: Convert to fraction form
    22,665/31,277.72 = 12,729/x
  3. Step 3: Cross multiply
    22,665x = 31,277.72 × 12,729
  4. Step 4: Simplify right side
    22,665x = 398,134,097.88
  5. Step 5: Solve for x
    x = 398,134,097.88/22,665
  6. Step 6: Final answer
    x = 17,566.03

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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.