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Finding the Fourth Proportional to 13,346.34, 18,416.88 and 7,680.80

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Solution

The fourth proportional to 13,346.34, 18,416.88 and 7,680.80 is: 10,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346.34 : 18,416.88 = 7,680.80 : x
  2. Step 2: Convert to fraction form
    13,346.34/18,416.88 = 7,680.80/x
  3. Step 3: Cross multiply
    13,346.34x = 18,416.88 × 7,680.80
  4. Step 4: Simplify right side
    13,346.34x = 141,456,279.82
  5. Step 5: Solve for x
    x = 141,456,279.82/13,346.34
  6. Step 6: Final answer
    x = 10,598.88

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