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Finding the Fourth Proportional to 13,954.14, 19,256.62 and 7,580.78

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Solution

The fourth proportional to 13,954.14, 19,256.62 and 7,580.78 is: 10,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.14 : 19,256.62 = 7,580.78 : x
  2. Step 2: Convert to fraction form
    13,954.14/19,256.62 = 7,580.78/x
  3. Step 3: Cross multiply
    13,954.14x = 19,256.62 × 7,580.78
  4. Step 4: Simplify right side
    13,954.14x = 145,980,199.76
  5. Step 5: Solve for x
    x = 145,980,199.76/13,954.14
  6. Step 6: Final answer
    x = 10,461.43

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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.