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Finding the Fourth Proportional to 16,695, 23,039.15 and 9,141.39

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Solution

The fourth proportional to 16,695, 23,039.15 and 9,141.39 is: 12,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,695 : 23,039.15 = 9,141.39 : x
  2. Step 2: Convert to fraction form
    16,695/23,039.15 = 9,141.39/x
  3. Step 3: Cross multiply
    16,695x = 23,039.15 × 9,141.39
  4. Step 4: Simplify right side
    16,695x = 210,609,809.71
  5. Step 5: Solve for x
    x = 210,609,809.71/16,695
  6. Step 6: Final answer
    x = 12,615.14

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Why These Related Problems?

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