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Finding the Fourth Proportional to 14,123.66, 19,489.76 and 8,074.52

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Solution

The fourth proportional to 14,123.66, 19,489.76 and 8,074.52 is: 11,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.66 : 19,489.76 = 8,074.52 : x
  2. Step 2: Convert to fraction form
    14,123.66/19,489.76 = 8,074.52/x
  3. Step 3: Cross multiply
    14,123.66x = 19,489.76 × 8,074.52
  4. Step 4: Simplify right side
    14,123.66x = 157,370,319.09
  5. Step 5: Solve for x
    x = 157,370,319.09/14,123.66
  6. Step 6: Final answer
    x = 11,142.32

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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.