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Finding the Fourth Proportional to 10,304.96, 14,230.35 and 9,752.54

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Solution

The fourth proportional to 10,304.96, 14,230.35 and 9,752.54 is: 13,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.96 : 14,230.35 = 9,752.54 : x
  2. Step 2: Convert to fraction form
    10,304.96/14,230.35 = 9,752.54/x
  3. Step 3: Cross multiply
    10,304.96x = 14,230.35 × 9,752.54
  4. Step 4: Simplify right side
    10,304.96x = 138,781,986.44
  5. Step 5: Solve for x
    x = 138,781,986.44/10,304.96
  6. Step 6: Final answer
    x = 13,467.50

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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.