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Finding the Fourth Proportional to 16,134.91, 24,203.86 and 6,274.93

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Solution

The fourth proportional to 16,134.91, 24,203.86 and 6,274.93 is: 9,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.91 : 24,203.86 = 6,274.93 : x
  2. Step 2: Convert to fraction form
    16,134.91/24,203.86 = 6,274.93/x
  3. Step 3: Cross multiply
    16,134.91x = 24,203.86 × 6,274.93
  4. Step 4: Simplify right side
    16,134.91x = 151,877,527.23
  5. Step 5: Solve for x
    x = 151,877,527.23/16,134.91
  6. Step 6: Final answer
    x = 9,412.98

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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.