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Finding the Fourth Proportional to 13,734.40, 18,953.12 and 7,446.72

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Solution

The fourth proportional to 13,734.40, 18,953.12 and 7,446.72 is: 10,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.40 : 18,953.12 = 7,446.72 : x
  2. Step 2: Convert to fraction form
    13,734.40/18,953.12 = 7,446.72/x
  3. Step 3: Cross multiply
    13,734.40x = 18,953.12 × 7,446.72
  4. Step 4: Simplify right side
    13,734.40x = 141,138,577.77
  5. Step 5: Solve for x
    x = 141,138,577.77/13,734.40
  6. Step 6: Final answer
    x = 10,276.28

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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.