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Finding the Fourth Proportional to 12,302.60, 16,972.70 and 7,578.68

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Solution

The fourth proportional to 12,302.60, 16,972.70 and 7,578.68 is: 10,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.60 : 16,972.70 = 7,578.68 : x
  2. Step 2: Convert to fraction form
    12,302.60/16,972.70 = 7,578.68/x
  3. Step 3: Cross multiply
    12,302.60x = 16,972.70 × 7,578.68
  4. Step 4: Simplify right side
    12,302.60x = 128,630,539.28
  5. Step 5: Solve for x
    x = 128,630,539.28/12,302.60
  6. Step 6: Final answer
    x = 10,455.56

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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.