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Finding the Fourth Proportional to 14,048.83, 19,381.84 and 9,005.97

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Solution

The fourth proportional to 14,048.83, 19,381.84 and 9,005.97 is: 12,424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.83 : 19,381.84 = 9,005.97 : x
  2. Step 2: Convert to fraction form
    14,048.83/19,381.84 = 9,005.97/x
  3. Step 3: Cross multiply
    14,048.83x = 19,381.84 × 9,005.97
  4. Step 4: Simplify right side
    14,048.83x = 174,552,269.58
  5. Step 5: Solve for x
    x = 174,552,269.58/14,048.83
  6. Step 6: Final answer
    x = 12,424.68

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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.