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Finding the Fourth Proportional to 13,569.39, 18,737.18 and 10,206.35

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Solution

The fourth proportional to 13,569.39, 18,737.18 and 10,206.35 is: 14,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.39 : 18,737.18 = 10,206.35 : x
  2. Step 2: Convert to fraction form
    13,569.39/18,737.18 = 10,206.35/x
  3. Step 3: Cross multiply
    13,569.39x = 18,737.18 × 10,206.35
  4. Step 4: Simplify right side
    13,569.39x = 191,238,072.38
  5. Step 5: Solve for x
    x = 191,238,072.38/13,569.39
  6. Step 6: Final answer
    x = 14,093.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.