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Finding the Fourth Proportional to 13,937.64, 20,982.53 and 12,712.92

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Solution

The fourth proportional to 13,937.64, 20,982.53 and 12,712.92 is: 19,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.64 : 20,982.53 = 12,712.92 : x
  2. Step 2: Convert to fraction form
    13,937.64/20,982.53 = 12,712.92/x
  3. Step 3: Cross multiply
    13,937.64x = 20,982.53 × 12,712.92
  4. Step 4: Simplify right side
    13,937.64x = 266,749,225.29
  5. Step 5: Solve for x
    x = 266,749,225.29/13,937.64
  6. Step 6: Final answer
    x = 19,138.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.