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Finding the Fourth Proportional to 16,586.64, 24,883.47 and 5,492.75

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Solution

The fourth proportional to 16,586.64, 24,883.47 and 5,492.75 is: 8,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.64 : 24,883.47 = 5,492.75 : x
  2. Step 2: Convert to fraction form
    16,586.64/24,883.47 = 5,492.75/x
  3. Step 3: Cross multiply
    16,586.64x = 24,883.47 × 5,492.75
  4. Step 4: Simplify right side
    16,586.64x = 136,678,555.43
  5. Step 5: Solve for x
    x = 136,678,555.43/16,586.64
  6. Step 6: Final answer
    x = 8,240.28

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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.