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Finding the Fourth Proportional to 16,496.57, 24,742.22 and 4,807.06

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Solution

The fourth proportional to 16,496.57, 24,742.22 and 4,807.06 is: 7,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.57 : 24,742.22 = 4,807.06 : x
  2. Step 2: Convert to fraction form
    16,496.57/24,742.22 = 4,807.06/x
  3. Step 3: Cross multiply
    16,496.57x = 24,742.22 × 4,807.06
  4. Step 4: Simplify right side
    16,496.57x = 118,937,336.07
  5. Step 5: Solve for x
    x = 118,937,336.07/16,496.57
  6. Step 6: Final answer
    x = 7,209.82

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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.