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Finding the Fourth Proportional to 14,138.52, 19,519.64 and 8,840.53

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Solution

The fourth proportional to 14,138.52, 19,519.64 and 8,840.53 is: 12,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.52 : 19,519.64 = 8,840.53 : x
  2. Step 2: Convert to fraction form
    14,138.52/19,519.64 = 8,840.53/x
  3. Step 3: Cross multiply
    14,138.52x = 19,519.64 × 8,840.53
  4. Step 4: Simplify right side
    14,138.52x = 172,563,918.81
  5. Step 5: Solve for x
    x = 172,563,918.81/14,138.52
  6. Step 6: Final answer
    x = 12,205.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.