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Finding the Fourth Proportional to 14,213.66, 19,622.77 and 9,977.72

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Solution

The fourth proportional to 14,213.66, 19,622.77 and 9,977.72 is: 13,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.66 : 19,622.77 = 9,977.72 : x
  2. Step 2: Convert to fraction form
    14,213.66/19,622.77 = 9,977.72/x
  3. Step 3: Cross multiply
    14,213.66x = 19,622.77 × 9,977.72
  4. Step 4: Simplify right side
    14,213.66x = 195,790,381.63
  5. Step 5: Solve for x
    x = 195,790,381.63/14,213.66
  6. Step 6: Final answer
    x = 13,774.81

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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.