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Finding the Fourth Proportional to 13,675.24, 20,437.90 and 9,985.24

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Solution

The fourth proportional to 13,675.24, 20,437.90 and 9,985.24 is: 14,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.24 : 20,437.90 = 9,985.24 : x
  2. Step 2: Convert to fraction form
    13,675.24/20,437.90 = 9,985.24/x
  3. Step 3: Cross multiply
    13,675.24x = 20,437.90 × 9,985.24
  4. Step 4: Simplify right side
    13,675.24x = 204,077,336.60
  5. Step 5: Solve for x
    x = 204,077,336.60/13,675.24
  6. Step 6: Final answer
    x = 14,923.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.