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Finding the Fourth Proportional to 23,172.99, 31,966.95 and 14,660.76

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Solution

The fourth proportional to 23,172.99, 31,966.95 and 14,660.76 is: 20,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.99 : 31,966.95 = 14,660.76 : x
  2. Step 2: Convert to fraction form
    23,172.99/31,966.95 = 14,660.76/x
  3. Step 3: Cross multiply
    23,172.99x = 31,966.95 × 14,660.76
  4. Step 4: Simplify right side
    23,172.99x = 468,659,781.88
  5. Step 5: Solve for x
    x = 468,659,781.88/23,172.99
  6. Step 6: Final answer
    x = 20,224.40

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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.