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Finding the Fourth Proportional to 15,487.60, 21,374.74 and 9,200

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Solution

The fourth proportional to 15,487.60, 21,374.74 and 9,200 is: 12,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.60 : 21,374.74 = 9,200 : x
  2. Step 2: Convert to fraction form
    15,487.60/21,374.74 = 9,200/x
  3. Step 3: Cross multiply
    15,487.60x = 21,374.74 × 9,200
  4. Step 4: Simplify right side
    15,487.60x = 196,647,608
  5. Step 5: Solve for x
    x = 196,647,608/15,487.60
  6. Step 6: Final answer
    x = 12,697.10

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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.