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Finding the Fourth Proportional to 13,554.69, 18,705.90 and 7,586.35

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Solution

The fourth proportional to 13,554.69, 18,705.90 and 7,586.35 is: 10,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.69 : 18,705.90 = 7,586.35 : x
  2. Step 2: Convert to fraction form
    13,554.69/18,705.90 = 7,586.35/x
  3. Step 3: Cross multiply
    13,554.69x = 18,705.90 × 7,586.35
  4. Step 4: Simplify right side
    13,554.69x = 141,909,373.00
  5. Step 5: Solve for x
    x = 141,909,373.00/13,554.69
  6. Step 6: Final answer
    x = 10,469.39

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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.