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Finding the Fourth Proportional to 13,971.66, 19,281.03 and 7,684.14

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Solution

The fourth proportional to 13,971.66, 19,281.03 and 7,684.14 is: 10,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.66 : 19,281.03 = 7,684.14 : x
  2. Step 2: Convert to fraction form
    13,971.66/19,281.03 = 7,684.14/x
  3. Step 3: Cross multiply
    13,971.66x = 19,281.03 × 7,684.14
  4. Step 4: Simplify right side
    13,971.66x = 148,158,133.86
  5. Step 5: Solve for x
    x = 148,158,133.86/13,971.66
  6. Step 6: Final answer
    x = 10,604.19

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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.