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Finding the Fourth Proportional to 15,688.60, 23,532.90 and 13,096.60

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Solution

The fourth proportional to 15,688.60, 23,532.90 and 13,096.60 is: 19,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.60 : 23,532.90 = 13,096.60 : x
  2. Step 2: Convert to fraction form
    15,688.60/23,532.90 = 13,096.60/x
  3. Step 3: Cross multiply
    15,688.60x = 23,532.90 × 13,096.60
  4. Step 4: Simplify right side
    15,688.60x = 308,200,978.14
  5. Step 5: Solve for x
    x = 308,200,978.14/15,688.60
  6. Step 6: Final answer
    x = 19,644.90

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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.