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Finding the Fourth Proportional to 14,119.52, 21,175.22 and 5,686.00

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Solution

The fourth proportional to 14,119.52, 21,175.22 and 5,686.00 is: 8,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.52 : 21,175.22 = 5,686.00 : x
  2. Step 2: Convert to fraction form
    14,119.52/21,175.22 = 5,686.00/x
  3. Step 3: Cross multiply
    14,119.52x = 21,175.22 × 5,686.00
  4. Step 4: Simplify right side
    14,119.52x = 120,402,262.20
  5. Step 5: Solve for x
    x = 120,402,262.20/14,119.52
  6. Step 6: Final answer
    x = 8,527.37

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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.