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Finding the Fourth Proportional to 18,145.64, 27,193.08 and 9,830.18

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Solution

The fourth proportional to 18,145.64, 27,193.08 and 9,830.18 is: 14,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145.64 : 27,193.08 = 9,830.18 : x
  2. Step 2: Convert to fraction form
    18,145.64/27,193.08 = 9,830.18/x
  3. Step 3: Cross multiply
    18,145.64x = 27,193.08 × 9,830.18
  4. Step 4: Simplify right side
    18,145.64x = 267,312,871.15
  5. Step 5: Solve for x
    x = 267,312,871.15/18,145.64
  6. Step 6: Final answer
    x = 14,731.52

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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.