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Finding the Fourth Proportional to 13,985.21, 20,976 and 4,125.53

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Solution

The fourth proportional to 13,985.21, 20,976 and 4,125.53 is: 6,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.21 : 20,976 = 4,125.53 : x
  2. Step 2: Convert to fraction form
    13,985.21/20,976 = 4,125.53/x
  3. Step 3: Cross multiply
    13,985.21x = 20,976 × 4,125.53
  4. Step 4: Simplify right side
    13,985.21x = 86,537,012.40
  5. Step 5: Solve for x
    x = 86,537,012.40/13,985.21
  6. Step 6: Final answer
    x = 6,187.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.