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Finding the Fourth Proportional to 30,098.64, 41,536.24 and 16,669.60

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Solution

The fourth proportional to 30,098.64, 41,536.24 and 16,669.60 is: 23,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.64 : 41,536.24 = 16,669.60 : x
  2. Step 2: Convert to fraction form
    30,098.64/41,536.24 = 16,669.60/x
  3. Step 3: Cross multiply
    30,098.64x = 41,536.24 × 16,669.60
  4. Step 4: Simplify right side
    30,098.64x = 692,392,506.30
  5. Step 5: Solve for x
    x = 692,392,506.30/30,098.64
  6. Step 6: Final answer
    x = 23,004.11

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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.