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Finding the Fourth Proportional to 16,698.24, 23,048.64 and 9,629.28

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Solution

The fourth proportional to 16,698.24, 23,048.64 and 9,629.28 is: 13,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698.24 : 23,048.64 = 9,629.28 : x
  2. Step 2: Convert to fraction form
    16,698.24/23,048.64 = 9,629.28/x
  3. Step 3: Cross multiply
    16,698.24x = 23,048.64 × 9,629.28
  4. Step 4: Simplify right side
    16,698.24x = 221,941,808.18
  5. Step 5: Solve for x
    x = 221,941,808.18/16,698.24
  6. Step 6: Final answer
    x = 13,291.33

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1.5x scale

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.