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Finding the Fourth Proportional to 13,033.32, 19,563 and 7,192.68

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Solution

The fourth proportional to 13,033.32, 19,563 and 7,192.68 is: 10,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.32 : 19,563 = 7,192.68 : x
  2. Step 2: Convert to fraction form
    13,033.32/19,563 = 7,192.68/x
  3. Step 3: Cross multiply
    13,033.32x = 19,563 × 7,192.68
  4. Step 4: Simplify right side
    13,033.32x = 140,710,398.84
  5. Step 5: Solve for x
    x = 140,710,398.84/13,033.32
  6. Step 6: Final answer
    x = 10,796.21

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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.