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Finding the Fourth Proportional to 16,922.64, 23,353.20 and 9,853.74

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Solution

The fourth proportional to 16,922.64, 23,353.20 and 9,853.74 is: 13,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922.64 : 23,353.20 = 9,853.74 : x
  2. Step 2: Convert to fraction form
    16,922.64/23,353.20 = 9,853.74/x
  3. Step 3: Cross multiply
    16,922.64x = 23,353.20 × 9,853.74
  4. Step 4: Simplify right side
    16,922.64x = 230,116,360.97
  5. Step 5: Solve for x
    x = 230,116,360.97/16,922.64
  6. Step 6: Final answer
    x = 13,598.14

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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.