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Finding the Fourth Proportional to 16,993.76, 23,448.69 and 9,821.00

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Solution

The fourth proportional to 16,993.76, 23,448.69 and 9,821.00 is: 13,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,993.76 : 23,448.69 = 9,821.00 : x
  2. Step 2: Convert to fraction form
    16,993.76/23,448.69 = 9,821.00/x
  3. Step 3: Cross multiply
    16,993.76x = 23,448.69 × 9,821.00
  4. Step 4: Simplify right side
    16,993.76x = 230,289,643.11
  5. Step 5: Solve for x
    x = 230,289,643.11/16,993.76
  6. Step 6: Final answer
    x = 13,551.43

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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.