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Finding the Fourth Proportional to 13,380.63, 18,461.12 and 7,714.65

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Solution

The fourth proportional to 13,380.63, 18,461.12 and 7,714.65 is: 10,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.63 : 18,461.12 = 7,714.65 : x
  2. Step 2: Convert to fraction form
    13,380.63/18,461.12 = 7,714.65/x
  3. Step 3: Cross multiply
    13,380.63x = 18,461.12 × 7,714.65
  4. Step 4: Simplify right side
    13,380.63x = 142,421,079.41
  5. Step 5: Solve for x
    x = 142,421,079.41/13,380.63
  6. Step 6: Final answer
    x = 10,643.82

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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.