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Finding the Fourth Proportional to 10,623.69, 16,035.39 and 10,623.69

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Solution

The fourth proportional to 10,623.69, 16,035.39 and 10,623.69 is: 16,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.69 : 16,035.39 = 10,623.69 : x
  2. Step 2: Convert to fraction form
    10,623.69/16,035.39 = 10,623.69/x
  3. Step 3: Cross multiply
    10,623.69x = 16,035.39 × 10,623.69
  4. Step 4: Simplify right side
    10,623.69x = 170,355,012.39
  5. Step 5: Solve for x
    x = 170,355,012.39/10,623.69
  6. Step 6: Final answer
    x = 16,035.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.