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Finding the Fourth Proportional to 23,328.94, 32,199.12 and 14,829.40

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Solution

The fourth proportional to 23,328.94, 32,199.12 and 14,829.40 is: 20,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328.94 : 32,199.12 = 14,829.40 : x
  2. Step 2: Convert to fraction form
    23,328.94/32,199.12 = 14,829.40/x
  3. Step 3: Cross multiply
    23,328.94x = 32,199.12 × 14,829.40
  4. Step 4: Simplify right side
    23,328.94x = 477,493,630.13
  5. Step 5: Solve for x
    x = 477,493,630.13/23,328.94
  6. Step 6: Final answer
    x = 20,467.87

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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.