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Finding the Fourth Proportional to 13,549.70, 18,697.72 and 7,580.34

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Solution

The fourth proportional to 13,549.70, 18,697.72 and 7,580.34 is: 10,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.70 : 18,697.72 = 7,580.34 : x
  2. Step 2: Convert to fraction form
    13,549.70/18,697.72 = 7,580.34/x
  3. Step 3: Cross multiply
    13,549.70x = 18,697.72 × 7,580.34
  4. Step 4: Simplify right side
    13,549.70x = 141,735,074.82
  5. Step 5: Solve for x
    x = 141,735,074.82/13,549.70
  6. Step 6: Final answer
    x = 10,460.38

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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.