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Finding the Fourth Proportional to 18,457.10, 27,689.70 and 9,101.60

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Solution

The fourth proportional to 18,457.10, 27,689.70 and 9,101.60 is: 13,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.10 : 27,689.70 = 9,101.60 : x
  2. Step 2: Convert to fraction form
    18,457.10/27,689.70 = 9,101.60/x
  3. Step 3: Cross multiply
    18,457.10x = 27,689.70 × 9,101.60
  4. Step 4: Simplify right side
    18,457.10x = 252,020,573.52
  5. Step 5: Solve for x
    x = 252,020,573.52/18,457.10
  6. Step 6: Final answer
    x = 13,654.40

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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.