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Finding the Fourth Proportional to 16,416.80, 24,625.20 and 9,483.20

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Solution

The fourth proportional to 16,416.80, 24,625.20 and 9,483.20 is: 14,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.80 : 24,625.20 = 9,483.20 : x
  2. Step 2: Convert to fraction form
    16,416.80/24,625.20 = 9,483.20/x
  3. Step 3: Cross multiply
    16,416.80x = 24,625.20 × 9,483.20
  4. Step 4: Simplify right side
    16,416.80x = 233,525,696.64
  5. Step 5: Solve for x
    x = 233,525,696.64/16,416.80
  6. Step 6: Final answer
    x = 14,224.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.