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Finding the Fourth Proportional to 13,562.80, 18,714.50 and 7,594.72

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Solution

The fourth proportional to 13,562.80, 18,714.50 and 7,594.72 is: 10,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.80 : 18,714.50 = 7,594.72 : x
  2. Step 2: Convert to fraction form
    13,562.80/18,714.50 = 7,594.72/x
  3. Step 3: Cross multiply
    13,562.80x = 18,714.50 × 7,594.72
  4. Step 4: Simplify right side
    13,562.80x = 142,131,387.44
  5. Step 5: Solve for x
    x = 142,131,387.44/13,562.80
  6. Step 6: Final answer
    x = 10,479.50

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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.