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Finding the Fourth Proportional to 15,471.64, 23,193.60 and 7,569.68

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Solution

The fourth proportional to 15,471.64, 23,193.60 and 7,569.68 is: 11,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.64 : 23,193.60 = 7,569.68 : x
  2. Step 2: Convert to fraction form
    15,471.64/23,193.60 = 7,569.68/x
  3. Step 3: Cross multiply
    15,471.64x = 23,193.60 × 7,569.68
  4. Step 4: Simplify right side
    15,471.64x = 175,568,130.05
  5. Step 5: Solve for x
    x = 175,568,130.05/15,471.64
  6. Step 6: Final answer
    x = 11,347.74

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Why These Related Problems?

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