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Finding the Fourth Proportional to 14,108.72, 19,466.19 and 8,438.47

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Solution

The fourth proportional to 14,108.72, 19,466.19 and 8,438.47 is: 11,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.72 : 19,466.19 = 8,438.47 : x
  2. Step 2: Convert to fraction form
    14,108.72/19,466.19 = 8,438.47/x
  3. Step 3: Cross multiply
    14,108.72x = 19,466.19 × 8,438.47
  4. Step 4: Simplify right side
    14,108.72x = 164,264,811.66
  5. Step 5: Solve for x
    x = 164,264,811.66/14,108.72
  6. Step 6: Final answer
    x = 11,642.79

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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.