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Finding the Fourth Proportional to 14,409.78, 19,886.46 and 8,122.14

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Solution

The fourth proportional to 14,409.78, 19,886.46 and 8,122.14 is: 11,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.78 : 19,886.46 = 8,122.14 : x
  2. Step 2: Convert to fraction form
    14,409.78/19,886.46 = 8,122.14/x
  3. Step 3: Cross multiply
    14,409.78x = 19,886.46 × 8,122.14
  4. Step 4: Simplify right side
    14,409.78x = 161,520,612.22
  5. Step 5: Solve for x
    x = 161,520,612.22/14,409.78
  6. Step 6: Final answer
    x = 11,209.10

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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.