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Finding the Fourth Proportional to 16,311.85, 22,497.88 and 14,047.11

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Solution

The fourth proportional to 16,311.85, 22,497.88 and 14,047.11 is: 19,374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.85 : 22,497.88 = 14,047.11 : x
  2. Step 2: Convert to fraction form
    16,311.85/22,497.88 = 14,047.11/x
  3. Step 3: Cross multiply
    16,311.85x = 22,497.88 × 14,047.11
  4. Step 4: Simplify right side
    16,311.85x = 316,030,195.13
  5. Step 5: Solve for x
    x = 316,030,195.13/16,311.85
  6. Step 6: Final answer
    x = 19,374.27

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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.