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Finding the Fourth Proportional to 14,416.84, 19,906.50 and 11,281.96

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Solution

The fourth proportional to 14,416.84, 19,906.50 and 11,281.96 is: 15,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.84 : 19,906.50 = 11,281.96 : x
  2. Step 2: Convert to fraction form
    14,416.84/19,906.50 = 11,281.96/x
  3. Step 3: Cross multiply
    14,416.84x = 19,906.50 × 11,281.96
  4. Step 4: Simplify right side
    14,416.84x = 224,584,336.74
  5. Step 5: Solve for x
    x = 224,584,336.74/14,416.84
  6. Step 6: Final answer
    x = 15,577.92

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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.