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Finding the Fourth Proportional to 16,684.72, 23,024.03 and 9,129.58

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Solution

The fourth proportional to 16,684.72, 23,024.03 and 9,129.58 is: 12,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.72 : 23,024.03 = 9,129.58 : x
  2. Step 2: Convert to fraction form
    16,684.72/23,024.03 = 9,129.58/x
  3. Step 3: Cross multiply
    16,684.72x = 23,024.03 × 9,129.58
  4. Step 4: Simplify right side
    16,684.72x = 210,199,620.60
  5. Step 5: Solve for x
    x = 210,199,620.60/16,684.72
  6. Step 6: Final answer
    x = 12,598.33

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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.