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Finding the Fourth Proportional to 14,198.52, 21,307.74 and 5,878.68

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Solution

The fourth proportional to 14,198.52, 21,307.74 and 5,878.68 is: 8,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.52 : 21,307.74 = 5,878.68 : x
  2. Step 2: Convert to fraction form
    14,198.52/21,307.74 = 5,878.68/x
  3. Step 3: Cross multiply
    14,198.52x = 21,307.74 × 5,878.68
  4. Step 4: Simplify right side
    14,198.52x = 125,261,384.98
  5. Step 5: Solve for x
    x = 125,261,384.98/14,198.52
  6. Step 6: Final answer
    x = 8,822.14

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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.