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Finding the Fourth Proportional to 14,238.34, 19,648.82 and 7,865.36

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Solution

The fourth proportional to 14,238.34, 19,648.82 and 7,865.36 is: 10,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.34 : 19,648.82 = 7,865.36 : x
  2. Step 2: Convert to fraction form
    14,238.34/19,648.82 = 7,865.36/x
  3. Step 3: Cross multiply
    14,238.34x = 19,648.82 × 7,865.36
  4. Step 4: Simplify right side
    14,238.34x = 154,545,146.05
  5. Step 5: Solve for x
    x = 154,545,146.05/14,238.34
  6. Step 6: Final answer
    x = 10,854.16

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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.