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Finding the Fourth Proportional to 20,140.16, 30,166.44 and 9,730

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Solution

The fourth proportional to 20,140.16, 30,166.44 and 9,730 is: 14,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.16 : 30,166.44 = 9,730 : x
  2. Step 2: Convert to fraction form
    20,140.16/30,166.44 = 9,730/x
  3. Step 3: Cross multiply
    20,140.16x = 30,166.44 × 9,730
  4. Step 4: Simplify right side
    20,140.16x = 293,519,461.20
  5. Step 5: Solve for x
    x = 293,519,461.20/20,140.16
  6. Step 6: Final answer
    x = 14,573.84

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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.