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Finding the Fourth Proportional to 14,521.86, 21,780.12 and 7,855.22

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Solution

The fourth proportional to 14,521.86, 21,780.12 and 7,855.22 is: 11,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.86 : 21,780.12 = 7,855.22 : x
  2. Step 2: Convert to fraction form
    14,521.86/21,780.12 = 7,855.22/x
  3. Step 3: Cross multiply
    14,521.86x = 21,780.12 × 7,855.22
  4. Step 4: Simplify right side
    14,521.86x = 171,087,634.23
  5. Step 5: Solve for x
    x = 171,087,634.23/14,521.86
  6. Step 6: Final answer
    x = 11,781.39

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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.