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Finding the Fourth Proportional to 15,068.56, 20,788.68 and 9,400

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Solution

The fourth proportional to 15,068.56, 20,788.68 and 9,400 is: 12,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,068.56 : 20,788.68 = 9,400 : x
  2. Step 2: Convert to fraction form
    15,068.56/20,788.68 = 9,400/x
  3. Step 3: Cross multiply
    15,068.56x = 20,788.68 × 9,400
  4. Step 4: Simplify right side
    15,068.56x = 195,413,592
  5. Step 5: Solve for x
    x = 195,413,592/15,068.56
  6. Step 6: Final answer
    x = 12,968.30

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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.