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Finding the Fourth Proportional to 30,205.16, 45,293.12 and 12,670.28

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Solution

The fourth proportional to 30,205.16, 45,293.12 and 12,670.28 is: 18,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.16 : 45,293.12 = 12,670.28 : x
  2. Step 2: Convert to fraction form
    30,205.16/45,293.12 = 12,670.28/x
  3. Step 3: Cross multiply
    30,205.16x = 45,293.12 × 12,670.28
  4. Step 4: Simplify right side
    30,205.16x = 573,876,512.47
  5. Step 5: Solve for x
    x = 573,876,512.47/30,205.16
  6. Step 6: Final answer
    x = 18,999.29

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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.