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Finding the Fourth Proportional to 13,421.16, 18,519.62 and 7,755.84

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Solution

The fourth proportional to 13,421.16, 18,519.62 and 7,755.84 is: 10,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.16 : 18,519.62 = 7,755.84 : x
  2. Step 2: Convert to fraction form
    13,421.16/18,519.62 = 7,755.84/x
  3. Step 3: Cross multiply
    13,421.16x = 18,519.62 × 7,755.84
  4. Step 4: Simplify right side
    13,421.16x = 143,635,209.58
  5. Step 5: Solve for x
    x = 143,635,209.58/13,421.16
  6. Step 6: Final answer
    x = 10,702.15

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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.