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Finding the Fourth Proportional to 23,799.40, 32,824.10 and 14,829.80

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Solution

The fourth proportional to 23,799.40, 32,824.10 and 14,829.80 is: 20,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,799.40 : 32,824.10 = 14,829.80 : x
  2. Step 2: Convert to fraction form
    23,799.40/32,824.10 = 14,829.80/x
  3. Step 3: Cross multiply
    23,799.40x = 32,824.10 × 14,829.80
  4. Step 4: Simplify right side
    23,799.40x = 486,774,838.18
  5. Step 5: Solve for x
    x = 486,774,838.18/23,799.40
  6. Step 6: Final answer
    x = 20,453.24

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