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Finding the Fourth Proportional to 12,519.63, 17,281.76 and 7,803.81

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Solution

The fourth proportional to 12,519.63, 17,281.76 and 7,803.81 is: 10,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519.63 : 17,281.76 = 7,803.81 : x
  2. Step 2: Convert to fraction form
    12,519.63/17,281.76 = 7,803.81/x
  3. Step 3: Cross multiply
    12,519.63x = 17,281.76 × 7,803.81
  4. Step 4: Simplify right side
    12,519.63x = 134,863,532.49
  5. Step 5: Solve for x
    x = 134,863,532.49/12,519.63
  6. Step 6: Final answer
    x = 10,772.17

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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.