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Finding the Fourth Proportional to 14,576.67, 21,862.66 and 5,214.95

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Solution

The fourth proportional to 14,576.67, 21,862.66 and 5,214.95 is: 7,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.67 : 21,862.66 = 5,214.95 : x
  2. Step 2: Convert to fraction form
    14,576.67/21,862.66 = 5,214.95/x
  3. Step 3: Cross multiply
    14,576.67x = 21,862.66 × 5,214.95
  4. Step 4: Simplify right side
    14,576.67x = 114,012,678.77
  5. Step 5: Solve for x
    x = 114,012,678.77/14,576.67
  6. Step 6: Final answer
    x = 7,821.59

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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.