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Finding the Fourth Proportional to 17,812.50, 24,581.18 and 10,256.06

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Solution

The fourth proportional to 17,812.50, 24,581.18 and 10,256.06 is: 14,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.50 : 24,581.18 = 10,256.06 : x
  2. Step 2: Convert to fraction form
    17,812.50/24,581.18 = 10,256.06/x
  3. Step 3: Cross multiply
    17,812.50x = 24,581.18 × 10,256.06
  4. Step 4: Simplify right side
    17,812.50x = 252,106,056.95
  5. Step 5: Solve for x
    x = 252,106,056.95/17,812.50
  6. Step 6: Final answer
    x = 14,153.32

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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.