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Finding the Fourth Proportional to 14,188.31, 19,574.58 and 14,166.44

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Solution

The fourth proportional to 14,188.31, 19,574.58 and 14,166.44 is: 19,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.31 : 19,574.58 = 14,166.44 : x
  2. Step 2: Convert to fraction form
    14,188.31/19,574.58 = 14,166.44/x
  3. Step 3: Cross multiply
    14,188.31x = 19,574.58 × 14,166.44
  4. Step 4: Simplify right side
    14,188.31x = 277,302,113.10
  5. Step 5: Solve for x
    x = 277,302,113.10/14,188.31
  6. Step 6: Final answer
    x = 19,544.41

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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.