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Finding the Fourth Proportional to 18,244.64, 27,368.04 and 5,097.02

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Solution

The fourth proportional to 18,244.64, 27,368.04 and 5,097.02 is: 7,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,244.64 : 27,368.04 = 5,097.02 : x
  2. Step 2: Convert to fraction form
    18,244.64/27,368.04 = 5,097.02/x
  3. Step 3: Cross multiply
    18,244.64x = 27,368.04 × 5,097.02
  4. Step 4: Simplify right side
    18,244.64x = 139,495,310.40
  5. Step 5: Solve for x
    x = 139,495,310.40/18,244.64
  6. Step 6: Final answer
    x = 7,645.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.