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Finding the Fourth Proportional to 14,448.42, 21,678.89 and 5,095.12

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Solution

The fourth proportional to 14,448.42, 21,678.89 and 5,095.12 is: 7,644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.42 : 21,678.89 = 5,095.12 : x
  2. Step 2: Convert to fraction form
    14,448.42/21,678.89 = 5,095.12/x
  3. Step 3: Cross multiply
    14,448.42x = 21,678.89 × 5,095.12
  4. Step 4: Simplify right side
    14,448.42x = 110,456,585.85
  5. Step 5: Solve for x
    x = 110,456,585.85/14,448.42
  6. Step 6: Final answer
    x = 7,644.89

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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.