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Finding the Fourth Proportional to 14,077.72, 19,418.28 and 9,827.23

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Solution

The fourth proportional to 14,077.72, 19,418.28 and 9,827.23 is: 13,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.72 : 19,418.28 = 9,827.23 : x
  2. Step 2: Convert to fraction form
    14,077.72/19,418.28 = 9,827.23/x
  3. Step 3: Cross multiply
    14,077.72x = 19,418.28 × 9,827.23
  4. Step 4: Simplify right side
    14,077.72x = 190,827,903.76
  5. Step 5: Solve for x
    x = 190,827,903.76/14,077.72
  6. Step 6: Final answer
    x = 13,555.31

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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.