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Finding the Fourth Proportional to 16,835, 23,229.56 and 10,119

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Solution

The fourth proportional to 16,835, 23,229.56 and 10,119 is: 13,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835 : 23,229.56 = 10,119 : x
  2. Step 2: Convert to fraction form
    16,835/23,229.56 = 10,119/x
  3. Step 3: Cross multiply
    16,835x = 23,229.56 × 10,119
  4. Step 4: Simplify right side
    16,835x = 235,059,917.64
  5. Step 5: Solve for x
    x = 235,059,917.64/16,835
  6. Step 6: Final answer
    x = 13,962.57

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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.