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Finding the Fourth Proportional to 30,209.67, 45,308.32 and 11,483.14

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Solution

The fourth proportional to 30,209.67, 45,308.32 and 11,483.14 is: 17,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.67 : 45,308.32 = 11,483.14 : x
  2. Step 2: Convert to fraction form
    30,209.67/45,308.32 = 11,483.14/x
  3. Step 3: Cross multiply
    30,209.67x = 45,308.32 × 11,483.14
  4. Step 4: Simplify right side
    30,209.67x = 520,281,781.72
  5. Step 5: Solve for x
    x = 520,281,781.72/30,209.67
  6. Step 6: Final answer
    x = 17,222.36

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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.