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Finding the Fourth Proportional to 25,167, 34,730.52 and 13,991.16

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Solution

The fourth proportional to 25,167, 34,730.52 and 13,991.16 is: 19,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,167 : 34,730.52 = 13,991.16 : x
  2. Step 2: Convert to fraction form
    25,167/34,730.52 = 13,991.16/x
  3. Step 3: Cross multiply
    25,167x = 34,730.52 × 13,991.16
  4. Step 4: Simplify right side
    25,167x = 485,920,262.20
  5. Step 5: Solve for x
    x = 485,920,262.20/25,167
  6. Step 6: Final answer
    x = 19,307.83

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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.