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Finding the Fourth Proportional to 13,605.40, 18,774.16 and 7,635.90

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Solution

The fourth proportional to 13,605.40, 18,774.16 and 7,635.90 is: 10,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.40 : 18,774.16 = 7,635.90 : x
  2. Step 2: Convert to fraction form
    13,605.40/18,774.16 = 7,635.90/x
  3. Step 3: Cross multiply
    13,605.40x = 18,774.16 × 7,635.90
  4. Step 4: Simplify right side
    13,605.40x = 143,357,570.16
  5. Step 5: Solve for x
    x = 143,357,570.16/13,605.40
  6. Step 6: Final answer
    x = 10,536.82

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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.