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Finding the Fourth Proportional to 25,236, 34,826.88 and 14,058

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Solution

The fourth proportional to 25,236, 34,826.88 and 14,058 is: 19,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,236 : 34,826.88 = 14,058 : x
  2. Step 2: Convert to fraction form
    25,236/34,826.88 = 14,058/x
  3. Step 3: Cross multiply
    25,236x = 34,826.88 × 14,058
  4. Step 4: Simplify right side
    25,236x = 489,596,279.04
  5. Step 5: Solve for x
    x = 489,596,279.04/25,236
  6. Step 6: Final answer
    x = 19,400.71

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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.