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Finding the Fourth Proportional to 12,885.48, 17,780.31 and 7,578.36

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Solution

The fourth proportional to 12,885.48, 17,780.31 and 7,578.36 is: 10,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.48 : 17,780.31 = 7,578.36 : x
  2. Step 2: Convert to fraction form
    12,885.48/17,780.31 = 7,578.36/x
  3. Step 3: Cross multiply
    12,885.48x = 17,780.31 × 7,578.36
  4. Step 4: Simplify right side
    12,885.48x = 134,745,590.09
  5. Step 5: Solve for x
    x = 134,745,590.09/12,885.48
  6. Step 6: Final answer
    x = 10,457.16

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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.