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Finding the Fourth Proportional to 13,971.17, 19,281.11 and 7,683.54

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Solution

The fourth proportional to 13,971.17, 19,281.11 and 7,683.54 is: 10,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.17 : 19,281.11 = 7,683.54 : x
  2. Step 2: Convert to fraction form
    13,971.17/19,281.11 = 7,683.54/x
  3. Step 3: Cross multiply
    13,971.17x = 19,281.11 × 7,683.54
  4. Step 4: Simplify right side
    13,971.17x = 148,147,141.51
  5. Step 5: Solve for x
    x = 148,147,141.51/13,971.17
  6. Step 6: Final answer
    x = 10,603.78

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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.