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Finding the Fourth Proportional to 19,567.50, 27,003.96 and 11,184

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Solution

The fourth proportional to 19,567.50, 27,003.96 and 11,184 is: 15,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.50 : 27,003.96 = 11,184 : x
  2. Step 2: Convert to fraction form
    19,567.50/27,003.96 = 11,184/x
  3. Step 3: Cross multiply
    19,567.50x = 27,003.96 × 11,184
  4. Step 4: Simplify right side
    19,567.50x = 302,012,288.64
  5. Step 5: Solve for x
    x = 302,012,288.64/19,567.50
  6. Step 6: Final answer
    x = 15,434.38

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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.