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Finding the Fourth Proportional to 13,663.90, 20,495.04 and 4,778.61

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Solution

The fourth proportional to 13,663.90, 20,495.04 and 4,778.61 is: 7,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.90 : 20,495.04 = 4,778.61 : x
  2. Step 2: Convert to fraction form
    13,663.90/20,495.04 = 4,778.61/x
  3. Step 3: Cross multiply
    13,663.90x = 20,495.04 × 4,778.61
  4. Step 4: Simplify right side
    13,663.90x = 97,937,803.09
  5. Step 5: Solve for x
    x = 97,937,803.09/13,663.90
  6. Step 6: Final answer
    x = 7,167.63

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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.