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Finding the Fourth Proportional to 23,142.58, 31,934.95 and 13,072.03

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Solution

The fourth proportional to 23,142.58, 31,934.95 and 13,072.03 is: 18,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.58 : 31,934.95 = 13,072.03 : x
  2. Step 2: Convert to fraction form
    23,142.58/31,934.95 = 13,072.03/x
  3. Step 3: Cross multiply
    23,142.58x = 31,934.95 × 13,072.03
  4. Step 4: Simplify right side
    23,142.58x = 417,454,624.45
  5. Step 5: Solve for x
    x = 417,454,624.45/23,142.58
  6. Step 6: Final answer
    x = 18,038.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.