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Finding the Fourth Proportional to 30,254.13, 45,383.00 and 9,194.90

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Solution

The fourth proportional to 30,254.13, 45,383.00 and 9,194.90 is: 13,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.13 : 45,383.00 = 9,194.90 : x
  2. Step 2: Convert to fraction form
    30,254.13/45,383.00 = 9,194.90/x
  3. Step 3: Cross multiply
    30,254.13x = 45,383.00 × 9,194.90
  4. Step 4: Simplify right side
    30,254.13x = 417,291,873.81
  5. Step 5: Solve for x
    x = 417,291,873.81/30,254.13
  6. Step 6: Final answer
    x = 13,792.89

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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.