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Finding the Fourth Proportional to 15,096.48, 22,636 and 5,851.68

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Solution

The fourth proportional to 15,096.48, 22,636 and 5,851.68 is: 8,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.48 : 22,636 = 5,851.68 : x
  2. Step 2: Convert to fraction form
    15,096.48/22,636 = 5,851.68/x
  3. Step 3: Cross multiply
    15,096.48x = 22,636 × 5,851.68
  4. Step 4: Simplify right side
    15,096.48x = 132,458,628.48
  5. Step 5: Solve for x
    x = 132,458,628.48/15,096.48
  6. Step 6: Final answer
    x = 8,774.14

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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.