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Finding the Fourth Proportional to 23,893.68, 32,950.14 and 15,823.64

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Solution

The fourth proportional to 23,893.68, 32,950.14 and 15,823.64 is: 21,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.68 : 32,950.14 = 15,823.64 : x
  2. Step 2: Convert to fraction form
    23,893.68/32,950.14 = 15,823.64/x
  3. Step 3: Cross multiply
    23,893.68x = 32,950.14 × 15,823.64
  4. Step 4: Simplify right side
    23,893.68x = 521,391,153.31
  5. Step 5: Solve for x
    x = 521,391,153.31/23,893.68
  6. Step 6: Final answer
    x = 21,821.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.