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Finding the Fourth Proportional to 13,602.48, 20,401.68 and 6,484.92

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Solution

The fourth proportional to 13,602.48, 20,401.68 and 6,484.92 is: 9,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.48 : 20,401.68 = 6,484.92 : x
  2. Step 2: Convert to fraction form
    13,602.48/20,401.68 = 6,484.92/x
  3. Step 3: Cross multiply
    13,602.48x = 20,401.68 × 6,484.92
  4. Step 4: Simplify right side
    13,602.48x = 132,303,262.67
  5. Step 5: Solve for x
    x = 132,303,262.67/13,602.48
  6. Step 6: Final answer
    x = 9,726.41

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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.