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Finding the Fourth Proportional to 20,146.40, 30,230.40 and 8,460.80

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Solution

The fourth proportional to 20,146.40, 30,230.40 and 8,460.80 is: 12,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.40 : 30,230.40 = 8,460.80 : x
  2. Step 2: Convert to fraction form
    20,146.40/30,230.40 = 8,460.80/x
  3. Step 3: Cross multiply
    20,146.40x = 30,230.40 × 8,460.80
  4. Step 4: Simplify right side
    20,146.40x = 255,773,368.32
  5. Step 5: Solve for x
    x = 255,773,368.32/20,146.40
  6. Step 6: Final answer
    x = 12,695.74

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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.