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Finding the Fourth Proportional to 12,421.40, 18,635.18 and 10,203.98

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Solution

The fourth proportional to 12,421.40, 18,635.18 and 10,203.98 is: 15,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.40 : 18,635.18 = 10,203.98 : x
  2. Step 2: Convert to fraction form
    12,421.40/18,635.18 = 10,203.98/x
  3. Step 3: Cross multiply
    12,421.40x = 18,635.18 × 10,203.98
  4. Step 4: Simplify right side
    12,421.40x = 190,152,859.82
  5. Step 5: Solve for x
    x = 190,152,859.82/12,421.40
  6. Step 6: Final answer
    x = 15,308.49

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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.