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Finding the Fourth Proportional to 16,401.68, 24,602.70 and 4,715

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Solution

The fourth proportional to 16,401.68, 24,602.70 and 4,715 is: 7,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.68 : 24,602.70 = 4,715 : x
  2. Step 2: Convert to fraction form
    16,401.68/24,602.70 = 4,715/x
  3. Step 3: Cross multiply
    16,401.68x = 24,602.70 × 4,715
  4. Step 4: Simplify right side
    16,401.68x = 116,001,730.50
  5. Step 5: Solve for x
    x = 116,001,730.50/16,401.68
  6. Step 6: Final answer
    x = 7,072.55

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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.