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Finding the Fourth Proportional to 14,302.80, 21,444.20 and 8,456.40

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Solution

The fourth proportional to 14,302.80, 21,444.20 and 8,456.40 is: 12,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.80 : 21,444.20 = 8,456.40 : x
  2. Step 2: Convert to fraction form
    14,302.80/21,444.20 = 8,456.40/x
  3. Step 3: Cross multiply
    14,302.80x = 21,444.20 × 8,456.40
  4. Step 4: Simplify right side
    14,302.80x = 181,340,732.88
  5. Step 5: Solve for x
    x = 181,340,732.88/14,302.80
  6. Step 6: Final answer
    x = 12,678.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.