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Finding the Fourth Proportional to 16,698, 23,040.84 and 14,190.16

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Solution

The fourth proportional to 16,698, 23,040.84 and 14,190.16 is: 19,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698 : 23,040.84 = 14,190.16 : x
  2. Step 2: Convert to fraction form
    16,698/23,040.84 = 14,190.16/x
  3. Step 3: Cross multiply
    16,698x = 23,040.84 × 14,190.16
  4. Step 4: Simplify right side
    16,698x = 326,953,206.13
  5. Step 5: Solve for x
    x = 326,953,206.13/16,698
  6. Step 6: Final answer
    x = 19,580.38

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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.