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Finding the Fourth Proportional to 30,206.16, 45,295.16 and 11,489.68

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Solution

The fourth proportional to 30,206.16, 45,295.16 and 11,489.68 is: 17,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.16 : 45,295.16 = 11,489.68 : x
  2. Step 2: Convert to fraction form
    30,206.16/45,295.16 = 11,489.68/x
  3. Step 3: Cross multiply
    30,206.16x = 45,295.16 × 11,489.68
  4. Step 4: Simplify right side
    30,206.16x = 520,426,893.95
  5. Step 5: Solve for x
    x = 520,426,893.95/30,206.16
  6. Step 6: Final answer
    x = 17,229.16

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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.