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Finding the Fourth Proportional to 14,537.80, 20,053.74 and 9,813.88

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Solution

The fourth proportional to 14,537.80, 20,053.74 and 9,813.88 is: 13,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.80 : 20,053.74 = 9,813.88 : x
  2. Step 2: Convert to fraction form
    14,537.80/20,053.74 = 9,813.88/x
  3. Step 3: Cross multiply
    14,537.80x = 20,053.74 × 9,813.88
  4. Step 4: Simplify right side
    14,537.80x = 196,804,997.91
  5. Step 5: Solve for x
    x = 196,804,997.91/14,537.80
  6. Step 6: Final answer
    x = 13,537.47

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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.