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Finding the Fourth Proportional to 30,097.64, 41,534.86 and 16,668.60

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Solution

The fourth proportional to 30,097.64, 41,534.86 and 16,668.60 is: 23,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.64 : 41,534.86 = 16,668.60 : x
  2. Step 2: Convert to fraction form
    30,097.64/41,534.86 = 16,668.60/x
  3. Step 3: Cross multiply
    30,097.64x = 41,534.86 × 16,668.60
  4. Step 4: Simplify right side
    30,097.64x = 692,327,967.40
  5. Step 5: Solve for x
    x = 692,327,967.40/30,097.64
  6. Step 6: Final answer
    x = 23,002.73

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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.