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Finding the Fourth Proportional to 13,097.58, 19,639.02 and 11,541.12

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Solution

The fourth proportional to 13,097.58, 19,639.02 and 11,541.12 is: 17,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.58 : 19,639.02 = 11,541.12 : x
  2. Step 2: Convert to fraction form
    13,097.58/19,639.02 = 11,541.12/x
  3. Step 3: Cross multiply
    13,097.58x = 19,639.02 × 11,541.12
  4. Step 4: Simplify right side
    13,097.58x = 226,656,286.50
  5. Step 5: Solve for x
    x = 226,656,286.50/13,097.58
  6. Step 6: Final answer
    x = 17,305.20

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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.