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Finding the Fourth Proportional to 14,651.34, 21,968.55 and 12,899.86

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Solution

The fourth proportional to 14,651.34, 21,968.55 and 12,899.86 is: 19,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.34 : 21,968.55 = 12,899.86 : x
  2. Step 2: Convert to fraction form
    14,651.34/21,968.55 = 12,899.86/x
  3. Step 3: Cross multiply
    14,651.34x = 21,968.55 × 12,899.86
  4. Step 4: Simplify right side
    14,651.34x = 283,391,219.40
  5. Step 5: Solve for x
    x = 283,391,219.40/14,651.34
  6. Step 6: Final answer
    x = 19,342.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.