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Finding the Fourth Proportional to 13,549.60, 18,697.86 and 7,580.14

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Solution

The fourth proportional to 13,549.60, 18,697.86 and 7,580.14 is: 10,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.60 : 18,697.86 = 7,580.14 : x
  2. Step 2: Convert to fraction form
    13,549.60/18,697.86 = 7,580.14/x
  3. Step 3: Cross multiply
    13,549.60x = 18,697.86 × 7,580.14
  4. Step 4: Simplify right side
    13,549.60x = 141,732,396.50
  5. Step 5: Solve for x
    x = 141,732,396.50/13,549.60
  6. Step 6: Final answer
    x = 10,460.26

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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.