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Finding the Fourth Proportional to 14,238.27, 19,648.89 and 7,864.67

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Solution

The fourth proportional to 14,238.27, 19,648.89 and 7,864.67 is: 10,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.27 : 19,648.89 = 7,864.67 : x
  2. Step 2: Convert to fraction form
    14,238.27/19,648.89 = 7,864.67/x
  3. Step 3: Cross multiply
    14,238.27x = 19,648.89 × 7,864.67
  4. Step 4: Simplify right side
    14,238.27x = 154,531,937.47
  5. Step 5: Solve for x
    x = 154,531,937.47/14,238.27
  6. Step 6: Final answer
    x = 10,853.28

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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.