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Finding the Fourth Proportional to 13,380.76, 18,461.28 and 7,714.78

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Solution

The fourth proportional to 13,380.76, 18,461.28 and 7,714.78 is: 10,643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.76 : 18,461.28 = 7,714.78 : x
  2. Step 2: Convert to fraction form
    13,380.76/18,461.28 = 7,714.78/x
  3. Step 3: Cross multiply
    13,380.76x = 18,461.28 × 7,714.78
  4. Step 4: Simplify right side
    13,380.76x = 142,424,696.50
  5. Step 5: Solve for x
    x = 142,424,696.50/13,380.76
  6. Step 6: Final answer
    x = 10,643.99

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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.