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Finding the Fourth Proportional to 14,007.68, 19,311.72 and 11,011.76

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Solution

The fourth proportional to 14,007.68, 19,311.72 and 11,011.76 is: 15,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.68 : 19,311.72 = 11,011.76 : x
  2. Step 2: Convert to fraction form
    14,007.68/19,311.72 = 11,011.76/x
  3. Step 3: Cross multiply
    14,007.68x = 19,311.72 × 11,011.76
  4. Step 4: Simplify right side
    14,007.68x = 212,656,025.83
  5. Step 5: Solve for x
    x = 212,656,025.83/14,007.68
  6. Step 6: Final answer
    x = 15,181.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.