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Finding the Fourth Proportional to 16,164.08, 24,242.02 and 11,470.40

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Solution

The fourth proportional to 16,164.08, 24,242.02 and 11,470.40 is: 17,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.08 : 24,242.02 = 11,470.40 : x
  2. Step 2: Convert to fraction form
    16,164.08/24,242.02 = 11,470.40/x
  3. Step 3: Cross multiply
    16,164.08x = 24,242.02 × 11,470.40
  4. Step 4: Simplify right side
    16,164.08x = 278,065,666.21
  5. Step 5: Solve for x
    x = 278,065,666.21/16,164.08
  6. Step 6: Final answer
    x = 17,202.69

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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.