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Finding the Fourth Proportional to 13,637.16, 18,737.73 and 10,837.80

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Solution

The fourth proportional to 13,637.16, 18,737.73 and 10,837.80 is: 14,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.16 : 18,737.73 = 10,837.80 : x
  2. Step 2: Convert to fraction form
    13,637.16/18,737.73 = 10,837.80/x
  3. Step 3: Cross multiply
    13,637.16x = 18,737.73 × 10,837.80
  4. Step 4: Simplify right side
    13,637.16x = 203,075,770.19
  5. Step 5: Solve for x
    x = 203,075,770.19/13,637.16
  6. Step 6: Final answer
    x = 14,891.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.