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Finding the Fourth Proportional to 13,972.86, 20,960.30 and 4,612.50

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Solution

The fourth proportional to 13,972.86, 20,960.30 and 4,612.50 is: 6,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.86 : 20,960.30 = 4,612.50 : x
  2. Step 2: Convert to fraction form
    13,972.86/20,960.30 = 4,612.50/x
  3. Step 3: Cross multiply
    13,972.86x = 20,960.30 × 4,612.50
  4. Step 4: Simplify right side
    13,972.86x = 96,679,395.28
  5. Step 5: Solve for x
    x = 96,679,395.28/13,972.86
  6. Step 6: Final answer
    x = 6,919.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.