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Finding the Fourth Proportional to 17,697.69, 24,423.12 and 10,145.25

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Solution

The fourth proportional to 17,697.69, 24,423.12 and 10,145.25 is: 14,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.69 : 24,423.12 = 10,145.25 : x
  2. Step 2: Convert to fraction form
    17,697.69/24,423.12 = 10,145.25/x
  3. Step 3: Cross multiply
    17,697.69x = 24,423.12 × 10,145.25
  4. Step 4: Simplify right side
    17,697.69x = 247,778,658.18
  5. Step 5: Solve for x
    x = 247,778,658.18/17,697.69
  6. Step 6: Final answer
    x = 14,000.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.