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Finding the Fourth Proportional to 12,783.59, 19,174.04 and 3,424.58

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Solution

The fourth proportional to 12,783.59, 19,174.04 and 3,424.58 is: 5,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.59 : 19,174.04 = 3,424.58 : x
  2. Step 2: Convert to fraction form
    12,783.59/19,174.04 = 3,424.58/x
  3. Step 3: Cross multiply
    12,783.59x = 19,174.04 × 3,424.58
  4. Step 4: Simplify right side
    12,783.59x = 65,662,920.91
  5. Step 5: Solve for x
    x = 65,662,920.91/12,783.59
  6. Step 6: Final answer
    x = 5,136.50

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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.