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Finding the Fourth Proportional to 23,002.67, 31,746.60 and 14,048.27

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Solution

The fourth proportional to 23,002.67, 31,746.60 and 14,048.27 is: 19,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.67 : 31,746.60 = 14,048.27 : x
  2. Step 2: Convert to fraction form
    23,002.67/31,746.60 = 14,048.27/x
  3. Step 3: Cross multiply
    23,002.67x = 31,746.60 × 14,048.27
  4. Step 4: Simplify right side
    23,002.67x = 445,984,808.38
  5. Step 5: Solve for x
    x = 445,984,808.38/23,002.67
  6. Step 6: Final answer
    x = 19,388.39

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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.