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Finding the Fourth Proportional to 13,981.20, 20,972.28 and 4,746

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Solution

The fourth proportional to 13,981.20, 20,972.28 and 4,746 is: 7,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.20 : 20,972.28 = 4,746 : x
  2. Step 2: Convert to fraction form
    13,981.20/20,972.28 = 4,746/x
  3. Step 3: Cross multiply
    13,981.20x = 20,972.28 × 4,746
  4. Step 4: Simplify right side
    13,981.20x = 99,534,440.88
  5. Step 5: Solve for x
    x = 99,534,440.88/13,981.20
  6. Step 6: Final answer
    x = 7,119.16

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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.