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Finding the Fourth Proportional to 13,957.29, 19,258.11 and 8,291.25

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Solution

The fourth proportional to 13,957.29, 19,258.11 and 8,291.25 is: 11,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.29 : 19,258.11 = 8,291.25 : x
  2. Step 2: Convert to fraction form
    13,957.29/19,258.11 = 8,291.25/x
  3. Step 3: Cross multiply
    13,957.29x = 19,258.11 × 8,291.25
  4. Step 4: Simplify right side
    13,957.29x = 159,673,804.54
  5. Step 5: Solve for x
    x = 159,673,804.54/13,957.29
  6. Step 6: Final answer
    x = 11,440.17

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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.