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Finding the Fourth Proportional to 16,462.13, 24,684.35 and 5,215.40

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Solution

The fourth proportional to 16,462.13, 24,684.35 and 5,215.40 is: 7,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.13 : 24,684.35 = 5,215.40 : x
  2. Step 2: Convert to fraction form
    16,462.13/24,684.35 = 5,215.40/x
  3. Step 3: Cross multiply
    16,462.13x = 24,684.35 × 5,215.40
  4. Step 4: Simplify right side
    16,462.13x = 128,738,840.91
  5. Step 5: Solve for x
    x = 128,738,840.91/16,462.13
  6. Step 6: Final answer
    x = 7,820.30

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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.