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Finding the Fourth Proportional to 12,853.40, 17,717.18 and 10,491.48

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Solution

The fourth proportional to 12,853.40, 17,717.18 and 10,491.48 is: 14,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.40 : 17,717.18 = 10,491.48 : x
  2. Step 2: Convert to fraction form
    12,853.40/17,717.18 = 10,491.48/x
  3. Step 3: Cross multiply
    12,853.40x = 17,717.18 × 10,491.48
  4. Step 4: Simplify right side
    12,853.40x = 185,879,439.63
  5. Step 5: Solve for x
    x = 185,879,439.63/12,853.40
  6. Step 6: Final answer
    x = 14,461.50

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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.