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Finding the Fourth Proportional to 16,673.22, 23,009 and 9,120.24

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Solution

The fourth proportional to 16,673.22, 23,009 and 9,120.24 is: 12,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,673.22 : 23,009 = 9,120.24 : x
  2. Step 2: Convert to fraction form
    16,673.22/23,009 = 9,120.24/x
  3. Step 3: Cross multiply
    16,673.22x = 23,009 × 9,120.24
  4. Step 4: Simplify right side
    16,673.22x = 209,847,602.16
  5. Step 5: Solve for x
    x = 209,847,602.16/16,673.22
  6. Step 6: Final answer
    x = 12,585.91

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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.