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Finding the Fourth Proportional to 21,823.68, 32,735.28 and 9,333.06

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Solution

The fourth proportional to 21,823.68, 32,735.28 and 9,333.06 is: 13,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.68 : 32,735.28 = 9,333.06 : x
  2. Step 2: Convert to fraction form
    21,823.68/32,735.28 = 9,333.06/x
  3. Step 3: Cross multiply
    21,823.68x = 32,735.28 × 9,333.06
  4. Step 4: Simplify right side
    21,823.68x = 305,520,332.36
  5. Step 5: Solve for x
    x = 305,520,332.36/21,823.68
  6. Step 6: Final answer
    x = 13,999.49

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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.