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Finding the Fourth Proportional to 14,672.84, 22,013.40 and 5,782.68

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Solution

The fourth proportional to 14,672.84, 22,013.40 and 5,782.68 is: 8,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.84 : 22,013.40 = 5,782.68 : x
  2. Step 2: Convert to fraction form
    14,672.84/22,013.40 = 5,782.68/x
  3. Step 3: Cross multiply
    14,672.84x = 22,013.40 × 5,782.68
  4. Step 4: Simplify right side
    14,672.84x = 127,296,447.91
  5. Step 5: Solve for x
    x = 127,296,447.91/14,672.84
  6. Step 6: Final answer
    x = 8,675.65

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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.