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Finding the Fourth Proportional to 16,312.41, 24,468.63 and 4,000.41

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Solution

The fourth proportional to 16,312.41, 24,468.63 and 4,000.41 is: 6,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.41 : 24,468.63 = 4,000.41 : x
  2. Step 2: Convert to fraction form
    16,312.41/24,468.63 = 4,000.41/x
  3. Step 3: Cross multiply
    16,312.41x = 24,468.63 × 4,000.41
  4. Step 4: Simplify right side
    16,312.41x = 97,884,552.14
  5. Step 5: Solve for x
    x = 97,884,552.14/16,312.41
  6. Step 6: Final answer
    x = 6,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.