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Finding the Fourth Proportional to 12,956.78, 19,423.28 and 5,064.50

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Solution

The fourth proportional to 12,956.78, 19,423.28 and 5,064.50 is: 7,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.78 : 19,423.28 = 5,064.50 : x
  2. Step 2: Convert to fraction form
    12,956.78/19,423.28 = 5,064.50/x
  3. Step 3: Cross multiply
    12,956.78x = 19,423.28 × 5,064.50
  4. Step 4: Simplify right side
    12,956.78x = 98,369,201.56
  5. Step 5: Solve for x
    x = 98,369,201.56/12,956.78
  6. Step 6: Final answer
    x = 7,592.10

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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.