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Finding the Fourth Proportional to 14,090.54, 19,443.58 and 8,424.16

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Solution

The fourth proportional to 14,090.54, 19,443.58 and 8,424.16 is: 11,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.54 : 19,443.58 = 8,424.16 : x
  2. Step 2: Convert to fraction form
    14,090.54/19,443.58 = 8,424.16/x
  3. Step 3: Cross multiply
    14,090.54x = 19,443.58 × 8,424.16
  4. Step 4: Simplify right side
    14,090.54x = 163,795,759.22
  5. Step 5: Solve for x
    x = 163,795,759.22/14,090.54
  6. Step 6: Final answer
    x = 11,624.52

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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.