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Finding the Fourth Proportional to 15,537.60, 23,298.12 and 7,213.32

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Solution

The fourth proportional to 15,537.60, 23,298.12 and 7,213.32 is: 10,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.60 : 23,298.12 = 7,213.32 : x
  2. Step 2: Convert to fraction form
    15,537.60/23,298.12 = 7,213.32/x
  3. Step 3: Cross multiply
    15,537.60x = 23,298.12 × 7,213.32
  4. Step 4: Simplify right side
    15,537.60x = 168,056,794.96
  5. Step 5: Solve for x
    x = 168,056,794.96/15,537.60
  6. Step 6: Final answer
    x = 10,816.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.