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Finding the Fourth Proportional to 13,554.82, 18,703.38 and 7,586.56

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Solution

The fourth proportional to 13,554.82, 18,703.38 and 7,586.56 is: 10,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.82 : 18,703.38 = 7,586.56 : x
  2. Step 2: Convert to fraction form
    13,554.82/18,703.38 = 7,586.56/x
  3. Step 3: Cross multiply
    13,554.82x = 18,703.38 × 7,586.56
  4. Step 4: Simplify right side
    13,554.82x = 141,894,314.57
  5. Step 5: Solve for x
    x = 141,894,314.57/13,554.82
  6. Step 6: Final answer
    x = 10,468.18

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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.