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Finding the Fourth Proportional to 14,078.46, 19,426.35 and 8,412

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Solution

The fourth proportional to 14,078.46, 19,426.35 and 8,412 is: 11,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.46 : 19,426.35 = 8,412 : x
  2. Step 2: Convert to fraction form
    14,078.46/19,426.35 = 8,412/x
  3. Step 3: Cross multiply
    14,078.46x = 19,426.35 × 8,412
  4. Step 4: Simplify right side
    14,078.46x = 163,414,456.20
  5. Step 5: Solve for x
    x = 163,414,456.20/14,078.46
  6. Step 6: Final answer
    x = 11,607.41

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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.