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Finding the Fourth Proportional to 14,340.51, 21,486.49 and 8,782.24

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Solution

The fourth proportional to 14,340.51, 21,486.49 and 8,782.24 is: 13,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.51 : 21,486.49 = 8,782.24 : x
  2. Step 2: Convert to fraction form
    14,340.51/21,486.49 = 8,782.24/x
  3. Step 3: Cross multiply
    14,340.51x = 21,486.49 × 8,782.24
  4. Step 4: Simplify right side
    14,340.51x = 188,699,511.94
  5. Step 5: Solve for x
    x = 188,699,511.94/14,340.51
  6. Step 6: Final answer
    x = 13,158.49

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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.