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Finding the Fourth Proportional to 13,002.14, 19,503.21 and 10,421.48

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Solution

The fourth proportional to 13,002.14, 19,503.21 and 10,421.48 is: 15,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.14 : 19,503.21 = 10,421.48 : x
  2. Step 2: Convert to fraction form
    13,002.14/19,503.21 = 10,421.48/x
  3. Step 3: Cross multiply
    13,002.14x = 19,503.21 × 10,421.48
  4. Step 4: Simplify right side
    13,002.14x = 203,252,215.43
  5. Step 5: Solve for x
    x = 203,252,215.43/13,002.14
  6. Step 6: Final answer
    x = 15,632.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.