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Finding the Fourth Proportional to 14,107.58, 19,471.95 and 8,142.83

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Solution

The fourth proportional to 14,107.58, 19,471.95 and 8,142.83 is: 11,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.58 : 19,471.95 = 8,142.83 : x
  2. Step 2: Convert to fraction form
    14,107.58/19,471.95 = 8,142.83/x
  3. Step 3: Cross multiply
    14,107.58x = 19,471.95 × 8,142.83
  4. Step 4: Simplify right side
    14,107.58x = 158,556,681.26
  5. Step 5: Solve for x
    x = 158,556,681.26/14,107.58
  6. Step 6: Final answer
    x = 11,239.12

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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.