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Finding the Fourth Proportional to 13,505.85, 18,637.95 and 7,537.14

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Solution

The fourth proportional to 13,505.85, 18,637.95 and 7,537.14 is: 10,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.85 : 18,637.95 = 7,537.14 : x
  2. Step 2: Convert to fraction form
    13,505.85/18,637.95 = 7,537.14/x
  3. Step 3: Cross multiply
    13,505.85x = 18,637.95 × 7,537.14
  4. Step 4: Simplify right side
    13,505.85x = 140,476,838.46
  5. Step 5: Solve for x
    x = 140,476,838.46/13,505.85
  6. Step 6: Final answer
    x = 10,401.18

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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.