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Finding the Fourth Proportional to 12,956.38, 19,428.18 and 5,458.57

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Solution

The fourth proportional to 12,956.38, 19,428.18 and 5,458.57 is: 8,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.38 : 19,428.18 = 5,458.57 : x
  2. Step 2: Convert to fraction form
    12,956.38/19,428.18 = 5,458.57/x
  3. Step 3: Cross multiply
    12,956.38x = 19,428.18 × 5,458.57
  4. Step 4: Simplify right side
    12,956.38x = 106,050,080.50
  5. Step 5: Solve for x
    x = 106,050,080.50/12,956.38
  6. Step 6: Final answer
    x = 8,185.16

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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.