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Finding the Fourth Proportional to 19,933.12, 27,507.88 and 10,980.64

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Solution

The fourth proportional to 19,933.12, 27,507.88 and 10,980.64 is: 15,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933.12 : 27,507.88 = 10,980.64 : x
  2. Step 2: Convert to fraction form
    19,933.12/27,507.88 = 10,980.64/x
  3. Step 3: Cross multiply
    19,933.12x = 27,507.88 × 10,980.64
  4. Step 4: Simplify right side
    19,933.12x = 302,054,127.44
  5. Step 5: Solve for x
    x = 302,054,127.44/19,933.12
  6. Step 6: Final answer
    x = 15,153.38

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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.