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Finding the Fourth Proportional to 16,703.76, 23,046 and 9,629.28

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Solution

The fourth proportional to 16,703.76, 23,046 and 9,629.28 is: 13,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,703.76 : 23,046 = 9,629.28 : x
  2. Step 2: Convert to fraction form
    16,703.76/23,046 = 9,629.28/x
  3. Step 3: Cross multiply
    16,703.76x = 23,046 × 9,629.28
  4. Step 4: Simplify right side
    16,703.76x = 221,916,386.88
  5. Step 5: Solve for x
    x = 221,916,386.88/16,703.76
  6. Step 6: Final answer
    x = 13,285.42

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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.