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Finding the Fourth Proportional to 16,696.65, 23,041.42 and 9,040.01

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Solution

The fourth proportional to 16,696.65, 23,041.42 and 9,040.01 is: 12,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.65 : 23,041.42 = 9,040.01 : x
  2. Step 2: Convert to fraction form
    16,696.65/23,041.42 = 9,040.01/x
  3. Step 3: Cross multiply
    16,696.65x = 23,041.42 × 9,040.01
  4. Step 4: Simplify right side
    16,696.65x = 208,294,709.87
  5. Step 5: Solve for x
    x = 208,294,709.87/16,696.65
  6. Step 6: Final answer
    x = 12,475.24

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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.