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Finding the Fourth Proportional to 12,888.96, 17,795.32 and 9,899.44

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Solution

The fourth proportional to 12,888.96, 17,795.32 and 9,899.44 is: 13,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.96 : 17,795.32 = 9,899.44 : x
  2. Step 2: Convert to fraction form
    12,888.96/17,795.32 = 9,899.44/x
  3. Step 3: Cross multiply
    12,888.96x = 17,795.32 × 9,899.44
  4. Step 4: Simplify right side
    12,888.96x = 176,163,702.62
  5. Step 5: Solve for x
    x = 176,163,702.62/12,888.96
  6. Step 6: Final answer
    x = 13,667.80

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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.