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Finding the Fourth Proportional to 16,182.64, 24,274.12 and 5,089.08

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Solution

The fourth proportional to 16,182.64, 24,274.12 and 5,089.08 is: 7,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.64 : 24,274.12 = 5,089.08 : x
  2. Step 2: Convert to fraction form
    16,182.64/24,274.12 = 5,089.08/x
  3. Step 3: Cross multiply
    16,182.64x = 24,274.12 × 5,089.08
  4. Step 4: Simplify right side
    16,182.64x = 123,532,938.61
  5. Step 5: Solve for x
    x = 123,532,938.61/16,182.64
  6. Step 6: Final answer
    x = 7,633.67

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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.