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Finding the Fourth Proportional to 16,492.64, 24,735.54 and 5,820.44

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Solution

The fourth proportional to 16,492.64, 24,735.54 and 5,820.44 is: 8,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.64 : 24,735.54 = 5,820.44 : x
  2. Step 2: Convert to fraction form
    16,492.64/24,735.54 = 5,820.44/x
  3. Step 3: Cross multiply
    16,492.64x = 24,735.54 × 5,820.44
  4. Step 4: Simplify right side
    16,492.64x = 143,971,726.44
  5. Step 5: Solve for x
    x = 143,971,726.44/16,492.64
  6. Step 6: Final answer
    x = 8,729.45

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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.