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Finding the Fourth Proportional to 13,473.96, 20,184.14 and 10,538.52

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Solution

The fourth proportional to 13,473.96, 20,184.14 and 10,538.52 is: 15,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.96 : 20,184.14 = 10,538.52 : x
  2. Step 2: Convert to fraction form
    13,473.96/20,184.14 = 10,538.52/x
  3. Step 3: Cross multiply
    13,473.96x = 20,184.14 × 10,538.52
  4. Step 4: Simplify right side
    13,473.96x = 212,710,888.50
  5. Step 5: Solve for x
    x = 212,710,888.50/13,473.96
  6. Step 6: Final answer
    x = 15,786.82

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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.