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Finding the Fourth Proportional to 16,859.86, 23,274.48 and 9,784.93

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Solution

The fourth proportional to 16,859.86, 23,274.48 and 9,784.93 is: 13,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859.86 : 23,274.48 = 9,784.93 : x
  2. Step 2: Convert to fraction form
    16,859.86/23,274.48 = 9,784.93/x
  3. Step 3: Cross multiply
    16,859.86x = 23,274.48 × 9,784.93
  4. Step 4: Simplify right side
    16,859.86x = 227,739,157.59
  5. Step 5: Solve for x
    x = 227,739,157.59/16,859.86
  6. Step 6: Final answer
    x = 13,507.77

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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.