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Finding the Fourth Proportional to 11,798.40, 16,274.88 and 10,223.76

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Solution

The fourth proportional to 11,798.40, 16,274.88 and 10,223.76 is: 14,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.40 : 16,274.88 = 10,223.76 : x
  2. Step 2: Convert to fraction form
    11,798.40/16,274.88 = 10,223.76/x
  3. Step 3: Cross multiply
    11,798.40x = 16,274.88 × 10,223.76
  4. Step 4: Simplify right side
    11,798.40x = 166,390,467.15
  5. Step 5: Solve for x
    x = 166,390,467.15/11,798.40
  6. Step 6: Final answer
    x = 14,102.80

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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.