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Finding the Fourth Proportional to 18,465.10, 27,701.70 and 9,109.60

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Solution

The fourth proportional to 18,465.10, 27,701.70 and 9,109.60 is: 13,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,465.10 : 27,701.70 = 9,109.60 : x
  2. Step 2: Convert to fraction form
    18,465.10/27,701.70 = 9,109.60/x
  3. Step 3: Cross multiply
    18,465.10x = 27,701.70 × 9,109.60
  4. Step 4: Simplify right side
    18,465.10x = 252,351,406.32
  5. Step 5: Solve for x
    x = 252,351,406.32/18,465.10
  6. Step 6: Final answer
    x = 13,666.40

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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.