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Finding the Fourth Proportional to 14,108.90, 19,466.07 and 8,140.46

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Solution

The fourth proportional to 14,108.90, 19,466.07 and 8,140.46 is: 11,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.90 : 19,466.07 = 8,140.46 : x
  2. Step 2: Convert to fraction form
    14,108.90/19,466.07 = 8,140.46/x
  3. Step 3: Cross multiply
    14,108.90x = 19,466.07 × 8,140.46
  4. Step 4: Simplify right side
    14,108.90x = 158,462,764.19
  5. Step 5: Solve for x
    x = 158,462,764.19/14,108.90
  6. Step 6: Final answer
    x = 11,231.40

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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.