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Finding the Fourth Proportional to 13,986.34, 19,301.16 and 7,612.90

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Solution

The fourth proportional to 13,986.34, 19,301.16 and 7,612.90 is: 10,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.34 : 19,301.16 = 7,612.90 : x
  2. Step 2: Convert to fraction form
    13,986.34/19,301.16 = 7,612.90/x
  3. Step 3: Cross multiply
    13,986.34x = 19,301.16 × 7,612.90
  4. Step 4: Simplify right side
    13,986.34x = 146,937,800.96
  5. Step 5: Solve for x
    x = 146,937,800.96/13,986.34
  6. Step 6: Final answer
    x = 10,505.81

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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.