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Finding the Fourth Proportional to 12,703.44, 19,056 and 4,383.84

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Solution

The fourth proportional to 12,703.44, 19,056 and 4,383.84 is: 6,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.44 : 19,056 = 4,383.84 : x
  2. Step 2: Convert to fraction form
    12,703.44/19,056 = 4,383.84/x
  3. Step 3: Cross multiply
    12,703.44x = 19,056 × 4,383.84
  4. Step 4: Simplify right side
    12,703.44x = 83,538,455.04
  5. Step 5: Solve for x
    x = 83,538,455.04/12,703.44
  6. Step 6: Final answer
    x = 6,576.05

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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.