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Finding the Fourth Proportional to 23,894.58, 35,784.87 and 13,878.12

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Solution

The fourth proportional to 23,894.58, 35,784.87 and 13,878.12 is: 20,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.58 : 35,784.87 = 13,878.12 : x
  2. Step 2: Convert to fraction form
    23,894.58/35,784.87 = 13,878.12/x
  3. Step 3: Cross multiply
    23,894.58x = 35,784.87 × 13,878.12
  4. Step 4: Simplify right side
    23,894.58x = 496,626,720.04
  5. Step 5: Solve for x
    x = 496,626,720.04/23,894.58
  6. Step 6: Final answer
    x = 20,784.07

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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.