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Finding the Fourth Proportional to 23,783.20, 35,675.20 and 8,999.08

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Solution

The fourth proportional to 23,783.20, 35,675.20 and 8,999.08 is: 13,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.20 : 35,675.20 = 8,999.08 : x
  2. Step 2: Convert to fraction form
    23,783.20/35,675.20 = 8,999.08/x
  3. Step 3: Cross multiply
    23,783.20x = 35,675.20 × 8,999.08
  4. Step 4: Simplify right side
    23,783.20x = 321,043,978.82
  5. Step 5: Solve for x
    x = 321,043,978.82/23,783.20
  6. Step 6: Final answer
    x = 13,498.77

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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.