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Finding the Fourth Proportional to 23,535, 35,317.09 and 13,678.92

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Solution

The fourth proportional to 23,535, 35,317.09 and 13,678.92 is: 20,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535 : 35,317.09 = 13,678.92 : x
  2. Step 2: Convert to fraction form
    23,535/35,317.09 = 13,678.92/x
  3. Step 3: Cross multiply
    23,535x = 35,317.09 × 13,678.92
  4. Step 4: Simplify right side
    23,535x = 483,099,648.74
  5. Step 5: Solve for x
    x = 483,099,648.74/23,535
  6. Step 6: Final answer
    x = 20,526.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.