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Finding the Fourth Proportional to 16,312.96, 24,471.06 and 5,216.86

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Solution

The fourth proportional to 16,312.96, 24,471.06 and 5,216.86 is: 7,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.96 : 24,471.06 = 5,216.86 : x
  2. Step 2: Convert to fraction form
    16,312.96/24,471.06 = 5,216.86/x
  3. Step 3: Cross multiply
    16,312.96x = 24,471.06 × 5,216.86
  4. Step 4: Simplify right side
    16,312.96x = 127,662,094.07
  5. Step 5: Solve for x
    x = 127,662,094.07/16,312.96
  6. Step 6: Final answer
    x = 7,825.81

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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.