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Finding the Fourth Proportional to 14,108.90, 19,470.18 and 8,140.52

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Solution

The fourth proportional to 14,108.90, 19,470.18 and 8,140.52 is: 11,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.90 : 19,470.18 = 8,140.52 : x
  2. Step 2: Convert to fraction form
    14,108.90/19,470.18 = 8,140.52/x
  3. Step 3: Cross multiply
    14,108.90x = 19,470.18 × 8,140.52
  4. Step 4: Simplify right side
    14,108.90x = 158,497,389.69
  5. Step 5: Solve for x
    x = 158,497,389.69/14,108.90
  6. Step 6: Final answer
    x = 11,233.86

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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.