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Finding the Fourth Proportional to 16,901.37, 25,358.54 and 7,038

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Solution

The fourth proportional to 16,901.37, 25,358.54 and 7,038 is: 10,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.37 : 25,358.54 = 7,038 : x
  2. Step 2: Convert to fraction form
    16,901.37/25,358.54 = 7,038/x
  3. Step 3: Cross multiply
    16,901.37x = 25,358.54 × 7,038
  4. Step 4: Simplify right side
    16,901.37x = 178,473,369.33
  5. Step 5: Solve for x
    x = 178,473,369.33/16,901.37
  6. Step 6: Final answer
    x = 10,559.70

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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.