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Finding the Fourth Proportional to 14,083.58, 19,424.48 and 9,833.24

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Solution

The fourth proportional to 14,083.58, 19,424.48 and 9,833.24 is: 13,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.58 : 19,424.48 = 9,833.24 : x
  2. Step 2: Convert to fraction form
    14,083.58/19,424.48 = 9,833.24/x
  3. Step 3: Cross multiply
    14,083.58x = 19,424.48 × 9,833.24
  4. Step 4: Simplify right side
    14,083.58x = 191,005,573.72
  5. Step 5: Solve for x
    x = 191,005,573.72/14,083.58
  6. Step 6: Final answer
    x = 13,562.29

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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.