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Finding the Fourth Proportional to 13,971.62, 19,281.03 and 7,684.13

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Solution

The fourth proportional to 13,971.62, 19,281.03 and 7,684.13 is: 10,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.62 : 19,281.03 = 7,684.13 : x
  2. Step 2: Convert to fraction form
    13,971.62/19,281.03 = 7,684.13/x
  3. Step 3: Cross multiply
    13,971.62x = 19,281.03 × 7,684.13
  4. Step 4: Simplify right side
    13,971.62x = 148,157,941.05
  5. Step 5: Solve for x
    x = 148,157,941.05/13,971.62
  6. Step 6: Final answer
    x = 10,604.21

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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.