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Finding the Fourth Proportional to 21,823.73, 32,708.20 and 9,329.06

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Solution

The fourth proportional to 21,823.73, 32,708.20 and 9,329.06 is: 13,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.73 : 32,708.20 = 9,329.06 : x
  2. Step 2: Convert to fraction form
    21,823.73/32,708.20 = 9,329.06/x
  3. Step 3: Cross multiply
    21,823.73x = 32,708.20 × 9,329.06
  4. Step 4: Simplify right side
    21,823.73x = 305,136,887.17
  5. Step 5: Solve for x
    x = 305,136,887.17/21,823.73
  6. Step 6: Final answer
    x = 13,981.89

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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.