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Finding the Fourth Proportional to 13,955.14, 19,258 and 7,581.78

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Solution

The fourth proportional to 13,955.14, 19,258 and 7,581.78 is: 10,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,955.14 : 19,258 = 7,581.78 : x
  2. Step 2: Convert to fraction form
    13,955.14/19,258 = 7,581.78/x
  3. Step 3: Cross multiply
    13,955.14x = 19,258 × 7,581.78
  4. Step 4: Simplify right side
    13,955.14x = 146,009,919.24
  5. Step 5: Solve for x
    x = 146,009,919.24/13,955.14
  6. Step 6: Final answer
    x = 10,462.81

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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.