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Finding the Fourth Proportional to 13,537.98, 18,682.50 and 7,569.90

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Solution

The fourth proportional to 13,537.98, 18,682.50 and 7,569.90 is: 10,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.98 : 18,682.50 = 7,569.90 : x
  2. Step 2: Convert to fraction form
    13,537.98/18,682.50 = 7,569.90/x
  3. Step 3: Cross multiply
    13,537.98x = 18,682.50 × 7,569.90
  4. Step 4: Simplify right side
    13,537.98x = 141,424,656.75
  5. Step 5: Solve for x
    x = 141,424,656.75/13,537.98
  6. Step 6: Final answer
    x = 10,446.51

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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.