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Finding the Fourth Proportional to 16,701.82, 23,048.93 and 9,148.48

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Solution

The fourth proportional to 16,701.82, 23,048.93 and 9,148.48 is: 12,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,701.82 : 23,048.93 = 9,148.48 : x
  2. Step 2: Convert to fraction form
    16,701.82/23,048.93 = 9,148.48/x
  3. Step 3: Cross multiply
    16,701.82x = 23,048.93 × 9,148.48
  4. Step 4: Simplify right side
    16,701.82x = 210,862,640.38
  5. Step 5: Solve for x
    x = 210,862,640.38/16,701.82
  6. Step 6: Final answer
    x = 12,625.13

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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.