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Finding the Fourth Proportional to 14,078.64, 19,427.19 and 8,412.26

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Solution

The fourth proportional to 14,078.64, 19,427.19 and 8,412.26 is: 11,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.64 : 19,427.19 = 8,412.26 : x
  2. Step 2: Convert to fraction form
    14,078.64/19,427.19 = 8,412.26/x
  3. Step 3: Cross multiply
    14,078.64x = 19,427.19 × 8,412.26
  4. Step 4: Simplify right side
    14,078.64x = 163,426,491.99
  5. Step 5: Solve for x
    x = 163,426,491.99/14,078.64
  6. Step 6: Final answer
    x = 11,608.12

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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.