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Finding the Fourth Proportional to 15,431.42, 23,142.33 and 5,569.41

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Solution

The fourth proportional to 15,431.42, 23,142.33 and 5,569.41 is: 8,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.42 : 23,142.33 = 5,569.41 : x
  2. Step 2: Convert to fraction form
    15,431.42/23,142.33 = 5,569.41/x
  3. Step 3: Cross multiply
    15,431.42x = 23,142.33 × 5,569.41
  4. Step 4: Simplify right side
    15,431.42x = 128,889,124.13
  5. Step 5: Solve for x
    x = 128,889,124.13/15,431.42
  6. Step 6: Final answer
    x = 8,352.39

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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.