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Finding the Fourth Proportional to 13,730.63, 18,938.48 and 8,941.77

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Solution

The fourth proportional to 13,730.63, 18,938.48 and 8,941.77 is: 12,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.63 : 18,938.48 = 8,941.77 : x
  2. Step 2: Convert to fraction form
    13,730.63/18,938.48 = 8,941.77/x
  3. Step 3: Cross multiply
    13,730.63x = 18,938.48 × 8,941.77
  4. Step 4: Simplify right side
    13,730.63x = 169,343,487.60
  5. Step 5: Solve for x
    x = 169,343,487.60/13,730.63
  6. Step 6: Final answer
    x = 12,333.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.