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Finding the Fourth Proportional to 13,248.96, 18,284.04 and 7,584.54

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Solution

The fourth proportional to 13,248.96, 18,284.04 and 7,584.54 is: 10,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248.96 : 18,284.04 = 7,584.54 : x
  2. Step 2: Convert to fraction form
    13,248.96/18,284.04 = 7,584.54/x
  3. Step 3: Cross multiply
    13,248.96x = 18,284.04 × 7,584.54
  4. Step 4: Simplify right side
    13,248.96x = 138,676,032.74
  5. Step 5: Solve for x
    x = 138,676,032.74/13,248.96
  6. Step 6: Final answer
    x = 10,466.94

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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.