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Finding the Fourth Proportional to 12,554.80, 17,311.40 and 8,578.16

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Solution

The fourth proportional to 12,554.80, 17,311.40 and 8,578.16 is: 11,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.80 : 17,311.40 = 8,578.16 : x
  2. Step 2: Convert to fraction form
    12,554.80/17,311.40 = 8,578.16/x
  3. Step 3: Cross multiply
    12,554.80x = 17,311.40 × 8,578.16
  4. Step 4: Simplify right side
    12,554.80x = 148,499,959.02
  5. Step 5: Solve for x
    x = 148,499,959.02/12,554.80
  6. Step 6: Final answer
    x = 11,828.14

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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.