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Finding the Fourth Proportional to 19,573.50, 29,340.92 and 12,533.48

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Solution

The fourth proportional to 19,573.50, 29,340.92 and 12,533.48 is: 18,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,573.50 : 29,340.92 = 12,533.48 : x
  2. Step 2: Convert to fraction form
    19,573.50/29,340.92 = 12,533.48/x
  3. Step 3: Cross multiply
    19,573.50x = 29,340.92 × 12,533.48
  4. Step 4: Simplify right side
    19,573.50x = 367,743,834.00
  5. Step 5: Solve for x
    x = 367,743,834.00/19,573.50
  6. Step 6: Final answer
    x = 18,787.84

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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.