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Finding the Fourth Proportional to 13,530.63, 18,670.95 and 8,493.24

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Solution

The fourth proportional to 13,530.63, 18,670.95 and 8,493.24 is: 11,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.63 : 18,670.95 = 8,493.24 : x
  2. Step 2: Convert to fraction form
    13,530.63/18,670.95 = 8,493.24/x
  3. Step 3: Cross multiply
    13,530.63x = 18,670.95 × 8,493.24
  4. Step 4: Simplify right side
    13,530.63x = 158,576,859.38
  5. Step 5: Solve for x
    x = 158,576,859.38/13,530.63
  6. Step 6: Final answer
    x = 11,719.84

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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.