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Finding the Fourth Proportional to 25,201.72, 34,776.98 and 14,023

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Solution

The fourth proportional to 25,201.72, 34,776.98 and 14,023 is: 19,350.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.72 : 34,776.98 = 14,023 : x
  2. Step 2: Convert to fraction form
    25,201.72/34,776.98 = 14,023/x
  3. Step 3: Cross multiply
    25,201.72x = 34,776.98 × 14,023
  4. Step 4: Simplify right side
    25,201.72x = 487,677,590.54
  5. Step 5: Solve for x
    x = 487,677,590.54/25,201.72
  6. Step 6: Final answer
    x = 19,350.96

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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.