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Finding the Fourth Proportional to 14,106.83, 19,470.92 and 8,142.08

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Solution

The fourth proportional to 14,106.83, 19,470.92 and 8,142.08 is: 11,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.83 : 19,470.92 = 8,142.08 : x
  2. Step 2: Convert to fraction form
    14,106.83/19,470.92 = 8,142.08/x
  3. Step 3: Cross multiply
    14,106.83x = 19,470.92 × 8,142.08
  4. Step 4: Simplify right side
    14,106.83x = 158,533,650.25
  5. Step 5: Solve for x
    x = 158,533,650.25/14,106.83
  6. Step 6: Final answer
    x = 11,238.08

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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.