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Finding the Fourth Proportional to 14,399, 19,870.68 and 8,111.48

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Solution

The fourth proportional to 14,399, 19,870.68 and 8,111.48 is: 11,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399 : 19,870.68 = 8,111.48 : x
  2. Step 2: Convert to fraction form
    14,399/19,870.68 = 8,111.48/x
  3. Step 3: Cross multiply
    14,399x = 19,870.68 × 8,111.48
  4. Step 4: Simplify right side
    14,399x = 161,180,623.41
  5. Step 5: Solve for x
    x = 161,180,623.41/14,399
  6. Step 6: Final answer
    x = 11,193.88

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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.