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Finding the Fourth Proportional to 16,483.75, 22,747.59 and 9,410.02

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Solution

The fourth proportional to 16,483.75, 22,747.59 and 9,410.02 is: 12,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.75 : 22,747.59 = 9,410.02 : x
  2. Step 2: Convert to fraction form
    16,483.75/22,747.59 = 9,410.02/x
  3. Step 3: Cross multiply
    16,483.75x = 22,747.59 × 9,410.02
  4. Step 4: Simplify right side
    16,483.75x = 214,055,276.85
  5. Step 5: Solve for x
    x = 214,055,276.85/16,483.75
  6. Step 6: Final answer
    x = 12,985.84

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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.